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BEGIN:VEVENT
SUMMARY:Masanobu Kaneko (Kyushu University)
DTSTART:20201013T080000Z
DTEND:20201013T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/1
DESCRIPTION:Title: A new approach to Kawashima's relation for multiple zeta values\n
by Masanobu Kaneko (Kyushu University) as part of Japan Europe Number Theo
ry Exchange Seminar\n\n\nAbstract\nKawashima's relation is conjecturally o
ne of the largest classes of relations among multiple zeta values. In his
highly original work\, Gaku Kawashima introduced and studied a certain New
ton series\, which we call the Kawashima function\, and deduced his relati
on by establishing several properties of this function.\nIn this talk\, we
will describe a new approach to the Kawashima function without using Newt
on series. We first establish a generalization of the theory of regulariza
tions of divergent multiple zeta values for a Hurwitz type multiple zeta v
alues\, and then relate it to the Kawashima function. Via this connection\
, we can prove a key property of the Kawashima function to establish Kawas
hima's relation.\nThis is a joint work with Ce Xu and Shuji Yamamoto\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wadim Zudilin (Radboud University Nijmegen)
DTSTART:20201013T083000Z
DTEND:20201013T090000Z
DTSTAMP:20260404T095625Z
UID:JENTE/2
DESCRIPTION:Title: (Quasi-)magnetic modular forms\nby Wadim Zudilin (Radboud Univers
ity Nijmegen) as part of Japan Europe Number Theory Exchange Seminar\n\n\n
Abstract\nGiven a positive even integer $k$\, let $E_k(\\tau)$ stands for
the normalised Eisenstein series of weight $k$\; denote $$\\Delta(\\tau)=q
\\prod_{m=1}^\\infty(1-q^m)^{24}=(E_4^3-E_6^2)/1728$$ with $q=e^{2\\pi i\\
tau}$\, and $\\delta=\\frac{1}{2\\pi i}\\frac{d}{\\d\\tau}=q\\frac{d}{dq}$
. About ten years ago Honda and Kaneko observed surprising arithmetic prop
erties of the meromorphic modular function $\\Delta^{5/6}/E_4^2$ of weight
2\, while the recent work of Li and Neururer (inspired by an observation
of Broadhurst and this speaker) brought to life an even stronger arithmeti
c for the modular function $\\Delta/E_4^2$ of weight 4. To convince the at
tendee about it\, you are invited to verify that the anti-derivatives $\\d
elta^{-1}(\\Delta/E_4^2)$ and $\\delta^{-1}(E_4\\Delta/E_6^2)$ have intege
r coefficients in their $q$-expansions. At the same time\, these series ar
e transcendental over the field of quasi-modular functions. I will discuss
this phenomenon (in a greater generality!) and ideas behind its proof in
my talk. The talk is based on my joint work with Vicenţiu Paşol.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nils Matthes (University of Oxford)
DTSTART:20201020T080000Z
DTEND:20201020T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/3
DESCRIPTION:Title: Algebraic independence results for iterated integrals of meromorphic
modular forms\nby Nils Matthes (University of Oxford) as part of Japan
Europe Number Theory Exchange Seminar\n\n\nAbstract\nAs a byproduct of th
eir recent work on the magnetism phenomenon for modular forms\, Pasol and
Zudilin proved that primitives of the meromorphic modular forms Delta/E_4^
2\, E_4*Delta/E_6^2\, and E_6*Delta/E_4^3 are algebraically independent ov
er the differential field generated by quasimodular forms. We will report
on work in progress on how to generalize this to iterated integrals of arb
itrary meromorphic modular forms.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nobuo Sato (National Taiwan University)
DTSTART:20201020T084000Z
DTEND:20201020T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/4
DESCRIPTION:Title: From the 2-1 formula for multiple zeta values to iterated beta integr
als\nby Nobuo Sato (National Taiwan University) as part of Japan Europ
e Number Theory Exchange Seminar\n\n\nAbstract\nA multiple zeta value\, or
MZV in short\, is a generalization of the Riemann zeta value at a positiv
e integer\, defined by a certain nested infinite sum. It is well known tha
t MZV's satisfy a large family of linear/algebraic relations over the rati
onals. Among such relations is the so-called two-one formula\, which was f
irst conjectured by Ohno and Zudilin as a generalization of their formula
and was later proved by Zhao in a quite ingenious but also mysterious way.
In my talk\, I would like to revisit the two-one formula from the viewpoi
nt of iterated beta integrals introduced by Hirose and myself. Our new vie
wpoint provides a clear understanding of the phenomena as well as a univer
sal way to prove identities of similar flavors\, such as Zagier’s 2-3-2
formula and its generalization.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuta Suzuki (Nagoya University)
DTSTART:20201027T080000Z
DTEND:20201027T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/5
DESCRIPTION:Title: On the irrationality of sums of reciprocals of Fibonacci numbers rest
ricted to prime-like indices\nby Yuta Suzuki (Nagoya University) as pa
rt of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nIn 1989\,
André-Jeannin proved the irrationality of the sum of reciprocals of Fibo
nacci numbers. A possible further question is to ask which subsums of reci
procal of Fibonacci numbers are still irrational. In this talk\, we prove
the irrationality of such subsums with indices restricted to thin "prime-l
ike" numbers. For example\, we can show the irrationality of the sum of re
ciprocals of Fibonacci numbers of the prime-square indices. Our proof is a
n extension of Erdős's partial result (1968) towards the irrationality of
$\\sum_{p}\\frac{1}{2^p-1}$. (joint work with D. Duverney and Y. Tachiya)
\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jori Merikoski (University of Turku)
DTSTART:20201027T084000Z
DTEND:20201027T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/6
DESCRIPTION:Title: A cubic analogue of the Friedlander-Iwaniec spin along primes\nby
Jori Merikoski (University of Turku) as part of Japan Europe Number Theor
y Exchange Seminar\n\n\nAbstract\nIn 1998 Friedlander and Iwaniec famously
proved that there are infinitely many primes of the form a^2+b^4. To show
this they defined the spin of Gaussian integers by using the Jacobi symbo
l\, and one of the key ingredients in the proof was to show that the spin
becomes equidistributed along Gaussian primes. To generalize this\, by usi
ng the cubic residue character on the Eisenstein integers\, we define the
cubic spin of ideals of the twelfth cyclotomic extension. We prove that th
e cubic spin is equidistributed along prime ideals. The proof of this foll
ows closely along the lines of Friedlander and Iwaniec. We also explain ho
w this cubic spin is related to primes of the form a^2+b^6 on the Eisenste
in integers.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jan-Willem van Ittersum (Utrecht University)
DTSTART:20201103T080000Z
DTEND:20201103T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/7
DESCRIPTION:Title: A Kaneko-Zagier equation for Jacobi forms\nby Jan-Willem van Itte
rsum (Utrecht University) as part of Japan Europe Number Theory Exchange S
eminar\n\n\nAbstract\nThe Kaneko-Zagier equation is a second order differe
ntial equation depending on a parameter k which gives rise to an infinite
family of modular forms as solutions. These solutions are closely related
to Weierstrass p function\, which becomes clear by considering the inverse
(under composition) of a suitably normalized generating series of the sol
utions for integer values of k. In this talk\, we study an analogue of the
Kaneko-Zagier differential equation for Jacobi forms. We point to three f
eatures of the infinite family of solutions. First of all\, the solutions
are quasi-Jacobi forms\, and we determine their transformation under the J
acobi group. Secondly\, the inverse of a suitable normalized generating se
ries of these solutions is again a well-known function\, namely a ratio of
theta functions. Finally\, a special feature of the solutions is the poly
nomial dependence of the index parameter. (Joint with Georg Oberdieck and
Aaron Pixton)\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kunihiro Ito (NEC Corporation/Tohoku University)
DTSTART:20201103T084000Z
DTEND:20201103T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/8
DESCRIPTION:Title: On a multi-variable Arakawa-Kaneko zeta function for non-positive or
positive indices\nby Kunihiro Ito (NEC Corporation/Tohoku University)
as part of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nThe
Arakawa-Kaneko zeta function (the xi function) and Kaneko-Tsumura zeta fun
ction (the eta function) are defined as the Mellin transformation of the g
enerating function of multi-poly-Bernoulli numbers and notably related to
multi-poly-Bernoulli numbers and multiple zeta values. One striking discov
ery is the duality of the multi-variable eta function. Specifically\, one
can obtain the duality formula among multi-indexed poly-Bernoulli numbers
of B-type and\, using the formula for special values of the multi-variable
eta function in terms of a linear combination of multiple zeta values\, a
new family of relations among multiple zeta values.\nIn this talk\, we in
troduce our study on the multi-variable xi function. First\, its analytic
continuation to an entire function. Second\, a duality formula among multi
-indexed poly-Bernoulli numbers of C-type which is regarded as a special c
ase of the possible duality of the multi-variable xi function. Third\, an
explicit procedure for writing the special values of the multi-variable xi
function as a linear combination of multiple zeta values.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Markus Schwagenscheidt (ETH Zürich)
DTSTART:20201110T080000Z
DTEND:20201110T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/9
DESCRIPTION:Title: Arithmetic properties of meromorphic modular forms\nby Markus Sch
wagenscheidt (ETH Zürich) as part of Japan Europe Number Theory Exchange
Seminar\n\n\nAbstract\nWhile investigating the Doi-Naganuma lift\, Zagier
studied certain cusp forms f_{k\,d} of weight 2k associated to positive di
scriminants d. These cusp forms also appear prominently in the kernel func
tion for the Shimura-Shintani correspondence. Moreover\, Kohnen and Zagier
showed that they have rational periods and geodesic cycle integrals. The
natural generalization of the function f_{k\,d} to negative discriminants
d yields a meromorphic modular form with poles at the CM points of discrim
inant d. Together with C. Alfes-Neumann\, K. Bringmann\, S. Löbrich\, and
J. Males\, we showed that these meromorphic modular forms have interestin
g arithmetic properties\, too. Indeed\, they have rational periods and cyc
le integrals\, and integral Fourier coefficients which satisfy strong divi
sibility conditions. Moreover\, their Fourier coefficients are non-vanishi
ng and have very regular sign changes. If time permits\, we will also disc
uss a surprising relation with the coefficients of the modular j-invariant
and the partition function.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Toshiki Matsusaka (Nagoya University)
DTSTART:20201110T084000Z
DTEND:20201110T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/10
DESCRIPTION:Title: Linking numbers and modular forms for the triangle groups\nby To
shiki Matsusaka (Nagoya University) as part of Japan Europe Number Theory
Exchange Seminar\n\n\nAbstract\nThe coset space SL(2\,Z)\\SL(2\,R) is diff
eomorphic to the complement of the trefoil knot in the 3-sphere. For each
hyperbolic matrix in SL(2\,Z) or real quadratic irrationality\, we can nat
urally construct a simple closed orbit in this space\, which is called a m
odular knot. At ICM 2006\, Ghys showed a beautiful relation that the linki
ng number of the modular knot and the missing trefoil is equal to the Rade
macher invariant. This invariant classically appears in the transformation
law of the Dedekind eta function\, and has the expression as a geodesic c
ycle integral of the Eisenstein series of weight 2. In this talk\, we gene
ralize Ghys’ result to the knot complement of the torus knots. To get a
similar relation between linking numbers and cycle integrals\, modular for
ms for triangle groups have crucial roles. This is joint work with Jun Uek
i (Tokyo Denki University).\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shin-ichiro Seki (Tohoku University)
DTSTART:20201117T080000Z
DTEND:20201117T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/11
DESCRIPTION:Title: Multivariable connected sums and transport relations\nby Shin-ic
hiro Seki (Tohoku University) as part of Japan Europe Number Theory Exchan
ge Seminar\n\n\nAbstract\nIn 2019\, the speaker and Shuji Yamamoto (Keio U
niversity) gave a new proof of the duality for multiple zeta values by ser
ies manipulation. The key ingredients were the connected sum and its trans
port relations. In this talk\, we introduce the multivariable connected su
m which generalizes Seki-Yamamoto's one\, and show new transport relations
. As an application\, we obtain a class of functional relations among mult
iple polylogarithms which contains Ohno's relations. This is joint work wi
th Hanamichi Kawamura (Seifu Senior High School) and Takumi Maesaka (Kanaz
awa University Senior High School).\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Annika Burmester (Universität Hamburg)
DTSTART:20201117T084000Z
DTEND:20201117T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/12
DESCRIPTION:Title: Combinatorial multiple Eisenstein series\nby Annika Burmester (U
niversität Hamburg) as part of Japan Europe Number Theory Exchange Semina
r\n\n\nAbstract\nMultiple q-zeta values are formal q-series\, which return
multiple zeta values as q goes to 1. The space of multiple q-zeta values
can be spanned by various different models. In this talk\, we will report
on our search for a model that is graded with respect to the usual multipl
ication of q-series. More precisely\, we are interested in q-series whose
generating series yield a swap invariant and symmetril bimould. In lowest
depth\, these q-series are given by Eisenstein series and their derivative
s. Therefore we call this model the combinatorial multiple Eisenstein seri
es. The construction relies on the bi-brackets introduced by Bachmann\, as
well as a rational solution to the classical double shuffle equations of
multiple zeta values. This talk is based on joint work with H. Bachmann.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Saad (University of Oxford)
DTSTART:20201124T080000Z
DTEND:20201124T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/13
DESCRIPTION:Title: Multiple zeta values and iterated Eisenstein integrals\nby Alex
Saad (University of Oxford) as part of Japan Europe Number Theory Exchange
Seminar\n\n\nAbstract\nMultiple zeta values (MZVs) are a well-studied cla
ss of periods that may be described as iterated integrals on the projectiv
e line minus three points. Iterated Eisenstein integrals are another class
of periods given as iterated integrals of Eisenstein series along the ima
ginary axis on the upper half plane. In this talk we sketch a result provi
ng that all MZVs can be expressed as rational linear combinations of itera
ted Eisenstein integrals by interpreting both classes as periods of fundam
ental groups. As a corollary we obtain a new generator for the category of
mixed Tate motives over the integers. This work is part of the speaker's
PhD thesis\, supervised by F. Brown (Oxford).\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Minoru Hirose (Kyushu University)
DTSTART:20201124T084000Z
DTEND:20201124T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/14
DESCRIPTION:Title: The motivic Galois group and alternating multiple zeta values\nb
y Minoru Hirose (Kyushu University) as part of Japan Europe Number Theory
Exchange Seminar\n\n\nAbstract\nMotivic alternating multiple zeta values a
re signed analogues of motivic multiple zeta values. In this talk\, we int
roduce alternating analogues of the confluence relations\, and show that t
hey give all linear relations among motivic alternating multiple zeta valu
es. Furthermore we explain that this result gives a complete answer to a Z
[1/2] analogue of a well-known open conjecture that the motivic Galois gro
up of mixed Tate motives over Z coincides with Grothendieck-Teichmüller g
roup. This is a joint work with Nobuo Sato at National Taiwan University.\
n
LOCATION:https://stable.researchseminars.org/talk/JENTE/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wataru Takeda (Nagoya University)
DTSTART:20201201T080000Z
DTEND:20201201T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/15
DESCRIPTION:Title: Transcendence of values of the iterated exponential function at alge
braic points\nby Wataru Takeda (Nagoya University) as part of Japan Eu
rope Number Theory Exchange Seminar\n\n\nAbstract\nWe study the transcende
nce of the limit $h(A)$ of the sequence: $A\, A^A\, A^{A^A}\, \\dots $.
In 2010\, Sondow and Marques studied the case that $A$ is rational numbers
or algebraic numbers satisfying some special conditions. In this talk\, w
e extend their results and give an asymptotic formula for the number of al
gebraic numbers $A$ such that $h(A)$ is algebraic.\nThis is a joint work w
ith Hirotaka Kobayashi and Kota Saito.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sumaia Saad Eddin (JKU Linz)
DTSTART:20201201T084000Z
DTEND:20201201T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/16
DESCRIPTION:Title: Recent results on Laurent-Stieltjes constants\nby Sumaia Saad Ed
din (JKU Linz) as part of Japan Europe Number Theory Exchange Seminar\n\n\
nAbstract\nLet $f$ be an arithmetic function and let $\\mathcal{S}^\\#$ de
note the extended Selberg class. We denote by $$\\mathcal{L}(s) = \\sum_{n
= 1}^{\\infty}\\frac{f(n)}{n^s}$$ the Dirichlet series attached to $f$. T
he Laurent-Stieltjes constants of $\\mathcal{L}(s)$ which belongs to $\\ma
thcal{S}^\\#$\, are the coefficients of the Laurent expansion of $\\mathca
l{L}$ at its pole $s=1$. In this talk\, we briefly survey the recent resul
ts on these constants including our new result\, which is a generalization
of many known results.\nThis is joint work with Sh\\={o}ta Inoue (Nagoya
University) and Ade Irma Suriajaya (Kyushu University).\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Federico Zerbini (Université Paris-Saclay)
DTSTART:20201208T080000Z
DTEND:20201208T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/17
DESCRIPTION:Title: Single-valued multiple zeta values\, and a class of modular forms fr
om string theory\nby Federico Zerbini (Université Paris-Saclay) as pa
rt of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nSingle-va
lued multiple zeta values are special values at z=1 of single-valued multi
ple polylogarithms. They form a small subalgebra of the multiple zeta valu
es\, which was first studied in 2013 by Francis Brown and which seems to p
lay an important role in string theory. In particular\, genus-one string t
heory amplitudes can be written in terms of a new class of non-holomorphic
modular functions whose asymptotic expansion coefficients are conjectured
to be single-valued multiple zeta values. I will introduce this class of
functions\, known in physics as "modular graph functions"\, and I will rep
ort on the proof of the conjecture for "two-point functions"\, obtained la
st year in collaboration with Don Zagier.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Koji Tasaka (Aichi Prefectural University)
DTSTART:20201208T084000Z
DTEND:20201208T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/18
DESCRIPTION:Title: Supercongruence of q-analogues of multiple harmonic sums\nby Koj
i Tasaka (Aichi Prefectural University) as part of Japan Europe Number The
ory Exchange Seminar\n\n\nAbstract\nI will talk about a q-analogue of the
study of mod p^n congruence relations among multiple harmonic sums. I will
also talk about applications of our study to finite and symmetric multipl
e zeta values introduced by Kaneko and Zagier.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Berend Ringeling (Radboud University Nijmegen)
DTSTART:20201215T080000Z
DTEND:20201215T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/19
DESCRIPTION:Title: Special zeta Mahler functions\nby Berend Ringeling (Radboud Univ
ersity Nijmegen) as part of Japan Europe Number Theory Exchange Seminar\n\
n\nAbstract\nIn 2009\, H. Akatsuka introduced the zeta Mahler\nfunction (Z
MF\, also called zeta Mahler measure) related to the\nmahler measure.\n
Here we discuss a family of ZMFs attached to the Laurent polynomials\n$k
+ (x_1 + x_1^{-1}) \\cdots (x_r + x_r^{-1})$\, where $k$ is real. We\ngiv
e explicit formulae\, present examples and establish properties for\nthese
ZMFs\, such as an RH-type phenomenon. Further\, we explore relations\nwit
h the Mahler measure.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ryotaro Harada (National Center for Theoretical Sciences)
DTSTART:20201215T084000Z
DTEND:20201215T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/20
DESCRIPTION:Title: On the dimension of the space generated by multizeta values in chara
cteristic p\nby Ryotaro Harada (National Center for Theoretical Scienc
es) as part of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\n
In 1994\, Don Zagier gave a conjecture about the dimension of the space ge
nerated by the power of $2\\pi i$ and double zeta values with fixed weight
. In 2016\, Chieh-Yu Chang tackled this problem in characteristic $p$ case
and obtained a lower bound of the dimension of the space generated by the
power of Carlitz period and characteristic $p$ double zeta values with fi
xed weight.\n\nIn this talk\, we prove that the set of characteristic $p$
multizeta values whose indices are "$g$-independent" is a linearly indepen
dent set over the rational function field of characteristic $p$. This give
s a generalization of Chang’s result to the case of depth greater than 2
. \n\nThis is a joint work with Yen-Tsung Chen in National Tsing Hua Unive
rsity.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shingo Sugiyama (Nihon University)
DTSTART:20201222T080000Z
DTEND:20201222T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/21
DESCRIPTION:Title: Low-lying zeros of symmetric power L-functions weighted by L-values<
/a>\nby Shingo Sugiyama (Nihon University) as part of Japan Europe Number
Theory Exchange Seminar\n\n\nAbstract\nThere is a philosophy due to Katz a
nd Sarnak that low-lying zeros of a family of L-functions should be distri
buted with a density function coming from random matrix theory. This has b
een supported by several evidences on Dirichlet L-functions\, standard L-f
unctions attached to elliptic modular forms\, and so on. In this talk\, we
discuss low-lying zeros of symmetric power L-functions attached to Hilber
t modular forms\, weighted by special values of symmetric square L-functio
ns. We also suggest a conjecture on relations between low-lying zeros and
special values of L-functions from our result.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeanine Van Order (Universität Bielefeld)
DTSTART:20201222T084000Z
DTEND:20201222T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/22
DESCRIPTION:Title: From bounds for Fourier coefficients to bounds for Mordell-Weil rank
s (and beyond)\nby Jeanine Van Order (Universität Bielefeld) as part
of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nMotivated th
e by the conjecture of Birch and Swinnerton-Dyer\, I will explain how the
spectral theory of automorphic forms on GL_2 and its two-fold metaplectic
cover can be used to derive unconditional bounds for Mordell-Weil ranks of
elliptic curves in certain abelian towers of number fields. The surjectiv
ity of the archimedean local Kirillov map (or its classical manifestation
in terms of Maass weight raising operators) plays a starring role here\, a
llowing one to realize the implicit L-values in terms as Fourier-Whittaker
coefficients of distinct automorphic forms. This leads to both new progre
ss and open questions\, which I will also describe.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shota Inoue (Nagoya University)
DTSTART:20210112T080000Z
DTEND:20210112T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/23
DESCRIPTION:Title: Large deviations in joint central limit theorems for L-function and
their application\nby Shota Inoue (Nagoya University) as part of Japan
Europe Number Theory Exchange Seminar\n\n\nAbstract\nThe independence of
L-function is firstly mentioned by Selberg.\nLater Bombieri and Hejhal est
ablished the independence by showing the joint central limit theorem of L-
functions on the critical line.\nIn this talk\, we discuss the large devia
tions in the central limit theorem of Bombieri and Hejhal.\nOur results ha
ve some consequences of moments of L-functions.\nFor example\, our results
lead to an unconditional lower bound of negative moments of the Riemann z
eta-function.\nThe speaker presents these results in this talk. This is jo
int work with Junxian Li (MPIM Bonn)\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Junxian Li (MPIM Bonn)
DTSTART:20210112T084000Z
DTEND:20210112T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/24
DESCRIPTION:Title: Uniform Titchmarsh divisor problems\nby Junxian Li (MPIM Bonn) a
s part of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nThe T
itchmarsh divisor problem asks for an asymptotic evaluation of the\naverag
e of the divisor function evaluated at shifted primes. We will discuss how
strong error\nterms that are uniform in the shift parameters could be obt
ained using spectral theory of\nautomorphic forms. We will also discuss th
e automorphic analogue of the Titchmarsh divisor\nproblem. This is a joint
work with E. Assing and V. Blome.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gabriele Bogo (TU Darmstadt)
DTSTART:20210119T080000Z
DTEND:20210119T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/25
DESCRIPTION:Title: Extended modularity and deformation of Riemann surfaces\nby Gabr
iele Bogo (TU Darmstadt) as part of Japan Europe Number Theory Exchange Se
minar\n\n\nAbstract\nI will discuss modular-type functions arising from th
e classical theory of uniformizing differential equations and the deformat
ion of Riemann surfaces.\nThese functions are components of vector-valued
modular forms associated to extensions of symmetric tensor representations
of Fuchsian groups.\nIn the easiest case\, they can be described in terms
of derivatives of Eichler integrals and quasimodular forms.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nao Komiyama (Nagoya University)
DTSTART:20210119T084000Z
DTEND:20210119T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/26
DESCRIPTION:Title: On the calculation of moulds\nby Nao Komiyama (Nagoya University
) as part of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nTh
e notion of moulds was introduced by Jean Ecalle in 1980s\, and he applied
moulds to the research of multiple zeta values in the early 2000s. In the
mould theory of Ecalle\, alternality\, alternility\,symmetrality and symm
etrility play an important role. In this talk\, I will explain these prope
rties\, and I will give some calculation examples of these.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Jarossay
DTSTART:20210126T080000Z
DTEND:20210126T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/27
DESCRIPTION:Title: Multiple harmonic values and adjoint multiple zeta values\nby Da
vid Jarossay as part of Japan Europe Number Theory Exchange Seminar\n\n\nA
bstract\nMultiple harmonic values are adelic lifts of finite multiple zeta
values. Adjoint multiple zeta values are certain polynomials of multiple
zeta values. These two notions arise naturally from the computation of p-a
dic multiple zeta values. We will explain some properties of these objects
and a combination of two different period conjectures to describe the pro
perties of multiple harmonic values.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jianqiang Zhao
DTSTART:20210126T084000Z
DTEND:20210126T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/28
DESCRIPTION:Title: A Proof of Kaneko-Tsumura Conjecture on Triple T-Values\nby Jian
qiang Zhao as part of Japan Europe Number Theory Exchange Seminar\n\n\nAbs
tract\nIn this talk\, I will describe an approach to discover many weighte
d sum formulas for colored multiple zeta values via generating functions.
As applications\, I'll present a proof of Kaneko-Tsumura Conjecture on the
weighted sum formula of triple T-values.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anthony Poels (Nihon University/Paris-Saclay & ENS Lyon)
DTSTART:20210202T080000Z
DTEND:20210202T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/29
DESCRIPTION:Title: Rational approximation to real points on quadratic hypersurfaces
\nby Anthony Poels (Nihon University/Paris-Saclay & ENS Lyon) as part of J
apan Europe Number Theory Exchange Seminar\n\n\nAbstract\nTo each point of
R^n we attach an exponent of approximation which quantifies "how well" we
can approximate this point by rational points with same denominator. A fu
ndamental question in Diophantine approximation is to determine the suprem
um of this exponent on given subsets of R^n. In a joint work with Roy\, w
e recently answered this question for quadratic hypersurfaces Z of R^n def
ined over Q: the optimal exponent depends only on the Witt index (over Q)
of the quadratic form defining Z. In dimension n = 2\, we recover results
of Roy while in higher dimension this completes recent work of Kleinbock
and Moshchevitin.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Makoto Kawashima (Nihon University)
DTSTART:20210202T084000Z
DTEND:20210202T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/30
DESCRIPTION:Title: Linear forms in polylogarithms\nby Makoto Kawashima (Nihon Unive
rsity) as part of Japan Europe Number Theory Exchange Seminar\n\n\nAbstrac
t\nWe shall discuss a recent joint work with Sinnou David and Noriko Hirat
a. In this talk\, we introduce a linear independence criterion of values o
f generalized Lerch functions. By this criterion\, we obtain new linear in
dependence results on the values of polylogarithms at distinct points over
an algebraic number field. This is done via a construction of an explicit
system of Padé apppoximants of generalized Lerch functions.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hidekazu Furusho (Nagoya University)
DTSTART:20210601T080000Z
DTEND:20210601T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/31
DESCRIPTION:Title: Artin-Schreier equation and Carlitz multiple polylogarithms\nby
Hidekazu Furusho (Nagoya University) as part of Japan Europe Number Theory
Exchange Seminar\n\n\nAbstract\nI will propose a method of analytic conti
nuation of multiple polylogarithms in positive characteristic by making us
e of the Artin-Schreier equation.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erik Panzer (University of Oxford)
DTSTART:20210601T083500Z
DTEND:20210601T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/32
DESCRIPTION:Title: Single-valued integrals over discs\nby Erik Panzer (University o
f Oxford) as part of Japan Europe Number Theory Exchange Seminar\n\n\nAbst
ract\nI will briefly explain how integrals over moduli spaces of marked di
scs appear in deformation quantization. The talk will then recap the singl
e-valued integration procedure of Brown and Schnetz\, explain the differen
ce due to the presence of the disc boundary\, and hence how 'non-single va
lued multiple zeta values' appear as single-valued integrals. This is join
t work with Brent Pym and Peter Banks\, https://arxiv.org/abs/1812.11649.\
n
LOCATION:https://stable.researchseminars.org/talk/JENTE/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Riccardo Pengo (École Normale Supérieure de Lyon)
DTSTART:20210608T080000Z
DTEND:20210608T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/33
DESCRIPTION:Title: Mahler measure of successively exact polynomials\nby Riccardo Pe
ngo (École Normale Supérieure de Lyon) as part of Japan Europe Number Th
eory Exchange Seminar\n\n\nAbstract\nThe relation between Mahler measures
of polynomials and special values of L-functions has been widely explored
since the seminal works of Boyd\, Deninger and Rodriguez-Villegas in the l
ate '90s. Sometimes\, as in the earliest examples computed by Smyth\, thes
e relations occur between Mahler measures of n-variable polynomials and sp
ecial values associated to geometric objects of dimension strictly less th
an n-1. This phenomenon has found a first explanation in the notion of exa
ctness\, put forward by Maillot and Lalín. In this talk\, based on joint
work in progress with François Brunault\, we will give a survey of these
questions\, and explain how one can interpret them using new cohomological
approaches\, which provide a notion of successive exactness\, predicted b
y Lalín\, that explains the observed drops in the dimension of the geomet
ric objects used to construct the L-functions whose special values should
be related to the Mahler measure of the polynomial in question.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jun Ueki (Tokyo Denki University)
DTSTART:20210608T083500Z
DTEND:20210608T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/34
DESCRIPTION:Title: Iwasawa theory for knots\nby Jun Ueki (Tokyo Denki University) a
s part of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nWe re
call the analogy between the Alexander-Fox theory of Z-covers of knots and
the Iwasawa theory for cyclotomic Zp-extensions\n\nand discuss how pro-p
theory for knots can be interesting. (Partially joint work with Ryoto Tang
e and Hyuga Yoshizaki.)\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ade Irma Suriajaya (Kyushu University)
DTSTART:20210615T080000Z
DTEND:20210615T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/35
DESCRIPTION:Title: Goldbach representations and exceptional zeros of Dirichlet L-functi
ons\nby Ade Irma Suriajaya (Kyushu University) as part of Japan Europe
Number Theory Exchange Seminar\n\n\nAbstract\nG. H. Hardy and J. E. Littl
ewood in 1922 studied the number of representations of a positive number a
s a sum of prime numbers. They conjectured that all large even numbers can
be written as a sum of two odd primes and also conjectured an asymptotic
formula for the number of representations. This conjecture gives a quantit
ative statement of the well-known Goldbach's conjecture. J. Fei in 2016 us
ed a weaker form of this Hardy-Littlewood Goldbach's Conjecture and showed
that we could almost eliminate the possible existence of the Landau-Siege
l zeros of Dirichlet L-functions associated with characters modulo q congr
uent to 3 mod 4. To be more precise\, Fei showed that we can narrow the in
terval which may contain a possible exceptional zero of the corresponding
Dirichlet L-function. G. Bhowmik and K. Halupczok in a recent preprint ext
ended Fei's result to all odd characters with a slightly weaker conjecture
. Independently\, C. Jia in his recent preprint used a slightly different
form of weak Hardy-Littlewood Goldbach's Conjecture to obtain results simi
lar to Bhowmik and Halupczok's. We extended the weak Hardy-Littlewood Gold
bach's Conjecture as close as possible to the original Hardy-Littlewood Go
ldbach's Conjecture and improved the arguments to extend Fei\, Bhowmik and
Halupczok\, and Jia's results to all Dirichlet L-functions associated wit
h real quadratic characters. This is a joint work with Daniel A. Goldston.
\n\nFollowing Goldston's talk at an AIM seminar early last month\, J. Frie
dlander and H. Iwaniec further improved our result and succeeded in showin
g that the weak Hardy-Littlewood Goldbach's Conjecture we used indeed impl
ies that there are no Landau-Siegel zeros. As in Friedlander and Iwaniec's
approach\, using an improved estimate on the prime number theorem for pri
mes in arithmetic progressions\, we are able to further improve our argume
nts to obtain Friedlander and Iwaniec's result. In this talk\, I would lik
e to explain the slightly different conjectures and approaches used in thi
s study and introduce relevant results.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tanja Isabelle Schindler (Centro di Ricerca Matematica Ennio De Gi
orgi)
DTSTART:20210615T083500Z
DTEND:20210615T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/36
DESCRIPTION:Title: A central limit theorem for the Birkhoff sum of the Riemann zeta-fun
ction over a Boolean type transformation\nby Tanja Isabelle Schindler
(Centro di Ricerca Matematica Ennio De Giorgi) as part of Japan Europe Num
ber Theory Exchange Seminar\n\n\nAbstract\nWe prove a central limit theore
m for the real and imaginary part and the absolute value of the Riemann ze
ta-function ξ sampled along a vertical line in the critical strip with re
spect to an ergodic transformation similar to the Boolean transformation\,
i.e. we have an ergodic transformation T: R->R and consider ξ(c+i T^n(x)
) for different n and fixed c and x. Our results complement results by Ste
uding who has first studied this system and has proven a strong law of lar
ge numbers. As a side result we state a general central limit theorem for
a class of unbounded observables on the real line over the same ergodic tr
ansformation. With that it is possible that the results can be generalized
to other L-function.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Keilthy (Max Planck Institute for Mathematics)
DTSTART:20210622T080000Z
DTEND:20210622T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/37
DESCRIPTION:Title: Block graded relations among multiple zeta values\nby Adam Keilt
hy (Max Planck Institute for Mathematics) as part of Japan Europe Number T
heory Exchange Seminar\n\n\nAbstract\nBased on the results of Charlton\, w
e introduce a new filtration on the space of motivic multiple zeta values\
, called the block filtration. Considering the associated graded algebra\,
we are able to provide a complete set of explicit generators for the bloc
k graded motivic Lie algebra and establish several new families of (block
graded) relations\, including a new shuffle relation\, a dihedral symmetry
\, and mysterious differential relation. Furthermore\, we can show that\,
in low block degree\, these provide a complete set of relations among moti
vic multiple zeta values.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Masataka Ono (Waseda University)
DTSTART:20210622T083500Z
DTEND:20210622T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/38
DESCRIPTION:Title: Finite and symmetric multiple zeta values associated with 2-colored
rooted trees\nby Masataka Ono (Waseda University) as part of Japan Eur
ope Number Theory Exchange Seminar\n\n\nAbstract\nIn my recent study\, we
introduced so called 2-colored rooted tree\, which is a kind of combinator
ial object\, and finite multiple zeta values associated with it\, and gave
a formula of them in terms of the usual finite multiple zeta values. From
the viewpoint of Kaneko–Zagier conjecture\, it is expected that there e
xists an analogous theory for the symmetric multiple zeta values.\n\nIn th
is talk\, we review the theory of finite multiple zeta values associated w
ith 2-colored rooted trees\, and we give a symmetric counterpart. Moreover
\, we give the analogous formula for them in terms of the usual symmetric
multiple zeta values. If time permits\, we explain that the same formula h
olds in the harmonic algebra. This talk is partially based on the joint wo
rk with Shin-ichiro Seki and Shuji Yamamoto.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yoshihiro Takeyama (University of Tsukuba)
DTSTART:20210629T080000Z
DTEND:20210629T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/39
DESCRIPTION:Title: Derivations on the algebra of multiple harmonic q-series\nby Yos
hihiro Takeyama (University of Tsukuba) as part of Japan Europe Number The
ory Exchange Seminar\n\n\nAbstract\nBradley proved that a q-analogue model
of multiple zeta values (MZVs) satisfies Ohno's relation for MZVs in the
same form. As a corollary\, we see that it also satisfies the derivation r
elations. In this talk we define derivations on the algebra of multiple ha
rmonic q-series which contains various q-analogue models of MZVs\, and sho
w that they generate linear relations among the q-series.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dominique Manchon (CNRS & Université Clermont-Auvergne)
DTSTART:20210629T083500Z
DTEND:20210629T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/40
DESCRIPTION:Title: An infinitesimal bialgebra related to multiple polylogarithms and q-
multiple zeta values\nby Dominique Manchon (CNRS & Université Clermo
nt-Auvergne) as part of Japan Europe Number Theory Exchange Seminar\n\n\nA
bstract\nMultiple polylogarithms as well as some models of q-multiple zeta
values (e.g. the Ohno-Okuda-Zudilin model) make sense for integer argumen
ts of any sign. They are encoded by words with three letters p\,d\,y subje
ct to pd=dp=1. We describe a comultiplication on the linear span of these
words\, which gives rise together with concatenation to an infinitesimal b
ialgebra structure. Then we will explore the compatibility of this comulti
plication with the mixed-sign versions of the shuffle product. Based on jo
int works with J. Castillo-Medina\, K. Ebrahimi-Fard and J. Singer.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steven Charlton (Universität Hamburg)
DTSTART:20210706T080000Z
DTEND:20210706T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/41
DESCRIPTION:Title: Functional equations for Nielsen polylogarithms\nby Steven Charl
ton (Universität Hamburg) as part of Japan Europe Number Theory Exchange
Seminar\n\n\nAbstract\nThe Nielsen polylogarithms $S_{p\,q}$ are perhaps t
he simplest examples of higher depth multiple polylogarithms\, but beyond
some simple symmetries\, relatively little seems to be known about their i
dentities and functional relations. I will report on some joint work with
Herbert Gangl\, and Danylo Radchenko\, wherein we establish that $S_{3\,2
}$ satisfies the dilogarithm 5-term relation\, modulo explicit $\\operator
name{Li}_5$ terms. From this we can always extract corresponding results
for $S_{3\,2}$ whenever a dilogarithm identity is accessible through the 5
-term relation. I will also try to give a flavour of some of our results
and evaluations in higher weight.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shuji Yamamoto (Keio University)
DTSTART:20210706T083500Z
DTEND:20210706T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/42
DESCRIPTION:Title: Sum formulas of Schur multiple zeta values of ribbon shape\nby S
huji Yamamoto (Keio University) as part of Japan Europe Number Theory Exch
ange Seminar\n\n\nAbstract\nThe classical sum formula states that the sum
of multiple zeta(-star) values of fixed weight and depth is an integer mul
tiple of the Riemann zeta value.\nSince the Schur multiple zeta value is a
common generalization of multiple zeta and zeta-star values\, it is inter
esting if we have a similar formula for the sum of Schur multiple zeta val
ues of fixed weight and shape. In this talk\, we will present some results
on such sums for ribbon shape. This is a joint work with H. Bachmann\, S.
Kadota\, Y. Suzuki and Y. Yamasaki.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sven Möller (RIMS Kyoto)
DTSTART:20210713T080000Z
DTEND:20210713T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/43
DESCRIPTION:Title: Vector-valued Eisenstein series and classification of holomorphic ve
rtex operator algebras\nby Sven Möller (RIMS Kyoto) as part of Japan
Europe Number Theory Exchange Seminar\n\n\nAbstract\nVertex operator algeb
ras (VOAs) axiomatise 2-dim. conformal field theoories in physics and are
at the centre of remarkable conections\nbetween representation and number
theory (e.g. Monstrous Moonshine).\n\nIndeed\, through their characters/gr
aded dimensions\, VOAs are intimately connected with various types of modu
lar forms.\n\nIn this work we study identities for holomorphic VOAs of cen
tral charge 24 based on a pairing argument with vector-valued Eisenstein s
eries of\nweight 2. The thus obtained dimension formulae are then used to
prove a classification result for these VOAs\, which had been open for thi
rty years.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claudia Alfes-Neumann (Bielefeld University)
DTSTART:20210713T083500Z
DTEND:20210713T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/44
DESCRIPTION:Title: Elliptic curves and harmonic weak Maass forms\nby Claudia Alfes-
Neumann (Bielefeld University) as part of Japan Europe Number Theory Excha
nge Seminar\n\n\nAbstract\nIn this talk we first introduce modular forms a
nd an arithmetically particularly interesting generalization: harmonic wea
k Maass forms. We show how these forms can be related to elliptic curves.
Special harmonic Maass forms encode the vanishing of the central L-value a
nd L-derivative which occur in the Birch and Swinnerton-Dyer Conjecture. (
This is in parts joint work with Michael Griffin\, Ken Ono and Larry Rolen
building upon work of Jan Bruinier an Ken Ono.)\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hanneke Wiersema (King's College London)
DTSTART:20210720T080000Z
DTEND:20210720T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/45
DESCRIPTION:Title: On a BSD-type formula for L-values of Artin twists of elliptic curve
s\nby Hanneke Wiersema (King's College London) as part of Japan Europe
Number Theory Exchange Seminar\n\n\nAbstract\nThe Birch and Swinnerton-Dy
er conjecture connects the arithmetic of elliptic curves over number field
s to their L-functions. The conjecture includes a formula for the leading
term of the Taylor series of the L-function at s=1 in terms of arithmetic
data associated to the elliptic curve. In this talk we will discuss the po
ssible existence of such a formula for L-functions of elliptic curves twis
ted by Artin representations. After outlining some expected properties of
these L-functions\, we will present arithmetic applications and some expli
cit examples. This is joint work with Vladimir Dokchitser and Robert Evans
.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yukako Kezuka (Max Planck Institute for Mathematics)
DTSTART:20210720T083500Z
DTEND:20210720T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/46
DESCRIPTION:Title: On the 2-rank of the ideal class group of cubic fields and its relat
ion to 2-Selmer groups\nby Yukako Kezuka (Max Planck Institute for Mat
hematics) as part of Japan Europe Number Theory Exchange Seminar\n\n\nAbst
ract\nIn this talk\, I will introduce a family of elliptic curves with com
plex multiplication and explain what the conjecture of Birch and Swinnerto
n-Dyer says for these curves. I will study the 3-part of the conjecture\,
and present a non-triviality condition relating the 2-part of the ideal cl
ass group of certain cubic field extensions and the 2-Selmer group of the
elliptic curves. This is joint work with Yongxiong Li.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hideki Murahara (University of Kitakyushu)
DTSTART:20211026T080000Z
DTEND:20211026T090000Z
DTSTAMP:20260404T095625Z
UID:JENTE/47
DESCRIPTION:Title: On the linear relations among the parametrized multiple series\n
by Hideki Murahara (University of Kitakyushu) as part of Japan Europe Numb
er Theory Exchange Seminar\n\n\nAbstract\nThe parametrized multiple series
are generalizations of multiple zeta values introduced by Igarashi. In th
is talk\, the speaker would like to show a new relation among them. More p
recisely\, he will show the following two statements: the linear part of t
he Kawashima relation of multiple zeta values is generalized to the parame
trized multiple series\, and any linear relations among parametrized multi
ple series can be written as a linear combination of this relation. This i
s joint work with Minoru Hirose in Nagoya University and Tomokazu Onozuka
in Kyushu University.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benjamin Brindle (University of Cologne)
DTSTART:20211026T084000Z
DTEND:20211026T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/48
DESCRIPTION:Title: Applications of marked partitions to qMZVs\nby Benjamin Brindle
(University of Cologne) as part of Japan Europe Number Theory Exchange Sem
inar\n\n\nAbstract\nIn this talk\, we introduce the notion of marked parti
tions and explain some of their relationships to q-analogues of multiple z
eta values (qMZVs). Marked partitions are partitions where each row and co
lumn of the corresponding Young diagram can be marked with one color. We i
nterpret qMZVs as generating a series of marked partitions. With this conc
ept\, we can visualize and prove\, for example\, the so-called Schlesinger
-Zudilin duality. Furthermore\, we show that the generating series of the
number of conjugacy classes of GL(n\,K) for a finite field K is given by t
he generating series of certain Ohno-Okuda-Zudilin qMZVs.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quentin Gazda (Université Lyon 1)
DTSTART:20211102T080000Z
DTEND:20211102T090000Z
DTSTAMP:20260404T095625Z
UID:JENTE/49
DESCRIPTION:Title: Algebraic independence of Carlitz’s polylogarithms\nby Quentin
Gazda (Université Lyon 1) as part of Japan Europe Number Theory Exchange
Seminar\n\n\nAbstract\nOver function fields\, Carlitz polylogarithms are
the counterpart of classical polylogarithms. The algebraic relations among
values of Carlitz polylogarithms were studied by many authors\, including
Anderson\, Thakur\, Papanikolas\, Chang and Yu. In this talk\, I will dis
cuss the new informations one can collect on this subject from « t-Motivi
c Cohomology »\, a tool introduced in my thesis akin to the cohomology of
hypothetical (classical) mixed motives.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hohto Bekki (Keio University)
DTSTART:20211102T083500Z
DTEND:20211102T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/50
DESCRIPTION:Title: On some applications of an integral formula of Hurwitz\nby Hohto
Bekki (Keio University) as part of Japan Europe Number Theory Exchange Se
minar\n\n\nAbstract\nIn this talk I would like to discuss mainly two topic
s both related to a classical integral formula of Hurwitz which is also kn
own as the Feynman parametrization. First I would like to report on the co
nstruction of a new Eisenstein cocycle called the Shintani-Barnes cocycle
which gives a cohomological description of the values of zeta functions of
general number fields at positive integers. Then I would like to explain
an observation towards the applications of such a description. More precis
ely\, I would like to discuss a relationship between the values of zeta fu
nctions of totally real fields and a kind of conical zeta values.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miyu Suzuki (Kanazawa University)
DTSTART:20211109T080000Z
DTEND:20211109T090000Z
DTSTAMP:20260404T095625Z
UID:JENTE/51
DESCRIPTION:Title: Explicit mean value formula for periods and L-functions\nby Miyu
Suzuki (Kanazawa University) as part of Japan Europe Number Theory Exchan
ge Seminar\n\n\nAbstract\nI will present an explicit mean value formula fo
r the central values of twisted modular L-functions. This is a special cas
e of the general result for automorphic representations of GL(2) and its i
nner forms. For the proof\, we introduce a certain zeta function associa
ted with a perhomogeneous vector space. I also present some numerical exam
ples of our mean value formulas. This talk is based on a joint work with S
atoshi Wakatsuki and Shun'ichi Yokoyama.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andreas Mono (University of Cologne)
DTSTART:20211109T083500Z
DTEND:20211109T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/52
DESCRIPTION:Title: On a twisted version of Zagier's $f_{k\,D}$ function\nby Andreas
Mono (University of Cologne) as part of Japan Europe Number Theory Exchan
ge Seminar\n\n\nAbstract\nWe present a twisting of Zagier’s $f_{k\,D}$ f
unction by a sign function and a genus character. Assuming even and positi
ve integral weight\, we inspect its obstruction to modularity\, and comput
e its Fourier expansion. This involves twisted hyperbolic Eisenstein serie
s\, locally harmonic Maaß forms\, and modular cycle integrals\, which wer
e studied by Duke\, Imamoglu\, Tóth. Lastly\, we outline some application
s of our results to theta lifts of Poincaré series.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ulf Kühn (Universität Hamburg)
DTSTART:20211116T080000Z
DTEND:20211116T090000Z
DTSTAMP:20260404T095625Z
UID:JENTE/53
DESCRIPTION:Title: Realizations of the formal double Eisenstein space\nby Ulf Kühn
(Universität Hamburg) as part of Japan Europe Number Theory Exchange Sem
inar\n\n\nAbstract\nIn this talk\, we introduce the formal double Eisenste
in space $\\mathcal{E}_k$\, which is a generalization of the formal double
zeta space $\\mathcal{D}_k$ of Gangl-Kaneko-Zagier. We show that $\\mathb
b{Q}$-linear from $\\mathcal{E}_k$ to $A$\, for some $\\mathbb{Q}$-algebra
$A$\, can be constructed from formal Laurent series that satisfy the Fay
identity. As the prototypical example\, we define the Kronecker realizatio
n\, which lifts Gangl-Kaneko-Zagier's Bernoulli realization\, and whose im
age consists of quasimodular forms for the full modular group. As an appli
cation to the theory of modular forms\, we obtain a purely combinatorial p
roof of Ramanujan's differential equations for classical Eisenstein series
. This talk is based on a joint work with H. Bachmann and N. Matthes.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shingo Saito (Kyushu University)
DTSTART:20211116T083500Z
DTEND:20211116T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/54
DESCRIPTION:Title: Sum formulas for multiple zeta values and symmetric multiple zeta va
lues\nby Shingo Saito (Kyushu University) as part of Japan Europe Numb
er Theory Exchange Seminar\n\n\nAbstract\nThe sum formulas for multiple ze
ta(-star) values and symmetric multiple zeta(-star) values bear a striking
resemblance. We explain the resemblance in a rather straightforward manne
r using an identity that involves the Schur multiple zeta values. We also
give a common generalization of the sum formulas in terms of generating fu
nctions. This is joint work with Minoru Hirose and Hideki Murahara.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ryomei Iwasa (University of Copenhagen)
DTSTART:20211123T080000Z
DTEND:20211123T090000Z
DTSTAMP:20260404T095625Z
UID:JENTE/55
DESCRIPTION:Title: Cohomology theories of schemes and algebraic K-theory\nby Ryomei
Iwasa (University of Copenhagen) as part of Japan Europe Number Theory Ex
change Seminar\n\n\nAbstract\nI’ll discuss what is a cohomology theory o
f schemes. Examples should include étale cohomology\, crystalline cohomol
ogy\, de Rham cohomology\, algebraic K-theory\, topological cyclic homolog
y\, and so forth. Then I’ll explain calculation of cohomology of $\\oper
atorname{BGL}_n$ and its application to algebraic K-theory. This talk is b
ased on a joint work in progress with Toni Annala.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Axel Kölschbach (MPIM Bonn)
DTSTART:20211123T083500Z
DTEND:20211123T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/56
DESCRIPTION:Title: On a candidate for the p-adic Jacquet—Langlands correspondence
\nby Axel Kölschbach (MPIM Bonn) as part of Japan Europe Number Theory Ex
change Seminar\n\n\nAbstract\nThe Jacquets—Langlands correspondence is a
bijection between square-integrable complex representations of $\\operato
rname{GL}_n(F)$ (for $F$ a finite extension of $\\mathbb{Q}_p$) and square
-integrable $f$ complex representations of the unit group of the division
algebra $D$ over $F$ with invariant $1/n$. Using the cohomology of the Lub
in—Tate Tower\, Scholze constructed a candidate for a $p$-adic Jacquets
—Langlands correspondence. We will explain this construction and explore
the relationship to the cohomology of Harris—Taylor Shimura varieties.\
n
LOCATION:https://stable.researchseminars.org/talk/JENTE/56/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luigi Pagano (University of Copenhagen)
DTSTART:20211130T080000Z
DTEND:20211130T090000Z
DTSTAMP:20260404T095625Z
UID:JENTE/57
DESCRIPTION:Title: Motivic zeta functions of Hilbert schemes of points on surfaces\
nby Luigi Pagano (University of Copenhagen) as part of Japan Europe Number
Theory Exchange Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shun'ichi Yokoyama (Tokyo Metropolitan University)
DTSTART:20211130T083500Z
DTEND:20211130T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/58
DESCRIPTION:Title: Julia language for number theory\nby Shun'ichi Yokoyama (Tokyo M
etropolitan University) as part of Japan Europe Number Theory Exchange Sem
inar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/58/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Naganori Yamaguchi (RIMS Kyoto)
DTSTART:20211207T083500Z
DTEND:20211207T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/59
DESCRIPTION:Title: The m-step solvable anabelian geometry for hyperbolic curves over fi
nitely generated fields\nby Naganori Yamaguchi (RIMS Kyoto) as part of
Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nIn anabelian g
eometry\, there is a conjecture\, called Grothendieck's conjecture (i.e. c
an we reconstruct group-theoretically a hyperbolic curve from its etale fu
ndamental group?). This conjecture has been solved in the affirmative in m
any cases. Regarding this conjecture\, if we replace the fundamental group
with its maximal m-step solvable quotient\, then does the conjecture stil
l hold? (Write m-GC for this question). \nm-GC has rarely been proved\, an
d we only have three previous studies (Nakamura\, Mochizuki). In this talk
\, I explain the content of these conjectures and of the previous studies
. In particular\, I explain a recent result that solves m-GC for affine hy
perbolic curves over finitely generated fields.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benjamin Collas (RIMS Kyoto)
DTSTART:20211207T080000Z
DTEND:20211207T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/60
DESCRIPTION:Title: Anabelian geometry\, a modern overview\nby Benjamin Collas (RIMS
Kyoto) as part of Japan Europe Number Theory Exchange Seminar\n\n\nAbstra
ct\nThe question of reconstructing certain classes of geometric spaces fro
m their étale fundamental group is part of Grothendieck's legacy. While i
t is often considered for his original insight to have been fulfilled in t
he '90s (Nakamura\, Tamagawa and Mochizuki)\, it also became a definite ar
ea of expertise of the Japanese arithmetic geometry school: new techniques
and principles have been developed that go beyond Grothendieck's original
insight.\n\nThe goal of this talk is to present a broad overview of princ
iples and techniques of the field\, including some prospective links with
motivic theory and some recent Diophantine applications (Mochizuki\; Mochi
zuki\, Hoshi et al.)\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/60/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Campagna (University of Copenhagen/MPIM Bonn)
DTSTART:20211214T080000Z
DTEND:20211214T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/61
DESCRIPTION:Title: Primes of cyclic reduction for elliptic curves\nby Francesco Cam
pagna (University of Copenhagen/MPIM Bonn) as part of Japan Europe Number
Theory Exchange Seminar\n\n\nAbstract\nGiven an elliptic curve E over a nu
mber field F and a prime of good reduction p\, the group of rational point
s on the reduced curve E mod p is abelian on at most two generators. If on
e generator suffices\, we call p a prime of cyclic reduction for E. In thi
s talk I will explain why the set of primes of cyclic reduction for E shou
ld have a natural density and I will discuss the possible vanishing of thi
s density. This is a joint work with Peter Stevenhagen.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/61/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yoshinori Mishiba (University of the Ryukyus)
DTSTART:20211214T083500Z
DTEND:20211214T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/62
DESCRIPTION:Title: On relations among v-adic multiple zeta values over function fields<
/a>\nby Yoshinori Mishiba (University of the Ryukyus) as part of Japan Eur
ope Number Theory Exchange Seminar\n\n\nAbstract\nLet v be a finite place
of the rational function field over a finite field. The v-adic multiple ze
ta values (MZV's) are v-adic analogues of Thakur's infinity-adic MZV's. In
this talk\, we will discuss linear/algebraic relations among them. In par
ticular\, we show that the v-adic MZV's satisfy the same algebraic relatio
ns that their corresponding infinity-adic MZV's satisfy. We will also disc
uss a dimension conjecture and candidates of generators for v-adic MZV's.
This is an ongoing joint work with Chieh-Yu Chang and Yen-Tsung Chen.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/62/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kenji Sakugawa (Shinshu University)
DTSTART:20211221T080000Z
DTEND:20211221T090000Z
DTSTAMP:20260404T095625Z
UID:JENTE/63
DESCRIPTION:Title: On the R-mixed Hodge structure on the relative pro-unipotent fundame
ntal group of M_{1\,1}\nby Kenji Sakugawa (Shinshu University) as part
of Japan Europe Number Theory Exchange Seminar\n\n\nAbstract\nLet M_{1\,1
} be the moduli stack of elliptic curves. The relative pro-unipotent funda
mental group of M_{1\,1} is a Tannakian fundamental group classifying loca
l systems over M_{1\,1} whose simple factors are isomorphic to relative mi
ddle cohomology groups of open Kuga-Sato varieties over M_{1\,1}. The mixe
d Hodge structure on it was first defined in a more general context by Hai
n\, and more detailed studies have recently been started by Hain and Brown
. In this talk\, we will discuss real mixed Hodge structure on the relati
ve pro-unipotent fundamental group in length two.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/63/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joshua Drewitt (University of Nottingham)
DTSTART:20211221T083500Z
DTEND:20211221T090500Z
DTSTAMP:20260404T095625Z
UID:JENTE/64
DESCRIPTION:Title: Laplace-eigenvalue equations for the space of modular iterated integ
rals\nby Joshua Drewitt (University of Nottingham) as part of Japan Eu
rope Number Theory Exchange Seminar\n\n\nAbstract\nOne motivation for the
definition of real analytic modular forms was due to their relation to mod
ular graph functions. In this talk\, we will provide a brief introduction
to the space real analytic modular forms and then focus on the subspace of
modular iterated integrals. In particular\, we will look at the Laplace-e
igenvalue equations associated to length two and length three modular iter
ated integrals. We will also discuss how these functions relate to the mod
ular graph functions arising from string perturbation theory.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Huajie Li (MPIM Bonn)
DTSTART:20220118T080000Z
DTEND:20220118T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/65
DESCRIPTION:Title: Introduction to the relative trace formulae of Guo-Jacquet\nby H
uajie Li (MPIM Bonn) as part of Japan Europe Number Theory Exchange Semina
r\n\n\nAbstract\nGuo and Jacquet have proposed a conjecture generalising W
aldspurger’s well-known theorem relating toric periods to central values
of automorphic L-functions for $GL(2)$. A promising tool to attack this c
onjecture is the relative trace formula. Although the formula has not been
established in full generality\, its simple version has been used to prov
e some cases of Guo-Jacquet’s conjecture. In this talk\, we shall introd
uce the background of their conjecture and survey some known results obtai
ned via the relative trace formula. In the end\, we shall also mention our
study of some problems arising from this approach.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ratko Darda (University of Osaka)
DTSTART:20220118T084000Z
DTEND:20220118T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/66
DESCRIPTION:Title: Manin-Peyre conjecture for weighted projective stacks\nby Ratko
Darda (University of Osaka) as part of Japan Europe Number Theory Exchange
Seminar\n\n\nAbstract\nManin-Peyre conjecture predicts the number of rati
onal points of bounded height on algebraic varieties. The constants appear
ing in the prediction are expressed using arithmetic and geometric invaria
nts of the variety. It is natural to ask if the constants appearing in som
e other arithmetic counting results\, like counting elliptic curves of bou
nded naive or Faltings height or counting Galois extensions with fixed Gal
ois group G of bounded discriminant\, could be explained in a similar way.
But these objects are not parametrized by a variety but by an algebraic s
tack. In this talk\, we will be focused on weighted projective stacks (the
stacky quotients (A^n-{0})/Gm for a weighted action)\, when a complete th
eory of Manin-Peyre conjecture can be provided. This explains all the cons
tants for the elliptic curves and some of the constants when G=\\mu_m is t
he group of m-th roots of unity.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sho Tanimoto (Nagoya University)
DTSTART:20220125T080000Z
DTEND:20220125T083000Z
DTSTAMP:20260404T095625Z
UID:JENTE/67
DESCRIPTION:Title: Campana points\, Height zeta functions\, and log Manin’s conjectur
e\nby Sho Tanimoto (Nagoya University) as part of Japan Europe Number
Theory Exchange Seminar\n\n\nAbstract\nManin’s conjecture predicts the a
symptotic formula for the counting function of rational points of bounded
height on smooth Fano varieties. There is also some study on Manin’s con
jecture for integral points\, however several subtleties prevent a general
formulation of log Manin’s conjecture for integral points. Campana and
Abramovich introduced the notion of Campana points which interpolates betw
een rational points and integral points\, and Pieropan\, Smeets\, Varilly-
Alvarado and the author proposed a formulation of log Manin’s conjecture
for Campana points. In this talk\, I will discuss this conjecture and an
approach to it using the height zeta function.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fabien Pazuki (University of Copenhagen)
DTSTART:20220125T084000Z
DTEND:20220125T091000Z
DTSTAMP:20260404T095625Z
UID:JENTE/68
DESCRIPTION:Title: Northcott property for special values of L-functions\nby Fabien
Pazuki (University of Copenhagen) as part of Japan Europe Number Theory Ex
change Seminar\n\n\nAbstract\nPick an integer n. Consider a natural family
of objects\, such that each object $X$ in the family has an L-function $L
(X\,s)$. If we assume that the collection of special values $L*(X\,n)$ is
bounded\, does it imply that the family of objects is finite? We will firs
t explain why we consider this question\, in link with Kato's heights of m
ixed motives\, and give two recent results. This is joint work with Riccar
do Pengo.\n
LOCATION:https://stable.researchseminars.org/talk/JENTE/68/
END:VEVENT
END:VCALENDAR