BEGIN:VCALENDAR
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PRODID:researchseminars.org
CALSCALE:GREGORIAN
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BEGIN:VEVENT
SUMMARY:Jan Vonk (Leiden)
DTSTART:20220302T080000Z
DTEND:20220302T090000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/1
DESCRIPTION:Title: Triple product periods in RM theory I\n
by Jan Vonk (Leiden) as part of Iwasawa theory and p-adic L-functions\n\n\
nAbstract\nIn these two talks\, I will talk about recent progress on p-adi
c analogues of CM theory\, for real quadratic fields. The emphasis will be
on triple product periods\, a set of invariants including (but not limite
d to) Gross-Stark units\, Stark-Heegner points\, and RM singular moduli.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jan Vonk (Leiden)
DTSTART:20220309T080000Z
DTEND:20220309T090000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/2
DESCRIPTION:Title: Triple product periods in RM theory II\
nby Jan Vonk (Leiden) as part of Iwasawa theory and p-adic L-functions\n\n
\nAbstract\nIn these two talks\, I will talk about recent progress on p-ad
ic analogues of CM theory\, for real quadratic fields. The emphasis will b
e on triple product periods\, a set of invariants including (but not limit
ed to) Gross-Stark units\, Stark-Heegner points\, and RM singular moduli.\
n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chan-Ho Kim (KIAS)
DTSTART:20220316T080000Z
DTEND:20220316T090000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/3
DESCRIPTION:Title: A structural refinement of Birch and Swinne
rton-Dyer conjecture\nby Chan-Ho Kim (KIAS) as part of Iwasawa theory
and p-adic L-functions\n\n\nAbstract\nWe discuss how the structure of Selm
er groups of elliptic curves can be described in terms of certain modular
symbols from the viewpoint of refined Iwasawa theory.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrei Jorza (Notre Dame)
DTSTART:20220323T030000Z
DTEND:20220323T040000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/4
DESCRIPTION:Title: $p$-adic $L$-functions\nby Andrei Jorza
(Notre Dame) as part of Iwasawa theory and p-adic L-functions\n\n\nAbstra
ct\n$p$-adic $L$-functions have been essential\, in the last decades\, in
proving instances of the Birch and Swinnerton-Dyer and Bloch-Kato conjectu
res. In this general talk\, I will explain what $p$-adic $L$-functions are
\, and how they appear in connection with $p$-adic families of modular for
ms\, focusing on the case of GL(2). The Taylor expansion of $p$-adic $L$-f
unctions in $p$-adic families\, was crucial in proving the trivial zero co
njecture in Barrera-Dimitrov-Jorza\, and we will explore a few such intrig
uing examples of Taylor expansions.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chung Pang Mok (Soochow)
DTSTART:20220330T030000Z
DTEND:20220330T040000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/5
DESCRIPTION:Title: Pseudorandom Vectors Generation Using Ellip
tic Curves And Applications to Wiener Processes\nby Chung Pang Mok (So
ochow) as part of Iwasawa theory and p-adic L-functions\n\n\nAbstract\nUsi
ng the arithmetic of elliptic curves over finite fields\, we present an al
gorithm for the efficient generation of sequence of uniform pseudorandom v
ectors in high dimension with long period\, that simulates sample sequence
of a sequence of independent identically distributed random variables\, w
ith values in the hypercube $[0\,1]^d$ with uniform distribution. As an ap
plication\, we obtain\, in the discrete time simulation\, an efficient alg
orithm to simulate\, uniformly distributed sample path sequence of a seque
nce of independent standard Wiener processes.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrei Jorza (Notre Dame)
DTSTART:20220331T030000Z
DTEND:20220331T040000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/6
DESCRIPTION:Title: $p$-adic $L$-functions for cuspidal represe
ntations of GL(2n) having Shalika models\nby Andrei Jorza (Notre Dame)
as part of Iwasawa theory and p-adic L-functions\n\n\nAbstract\nIn this s
econd talk on $p$-adic $L$-functions we will discuss recent results on the
construction of $p$-adic $L$-functions for cuspidal representations on GL
(2n) which admit Shalika models. In ongoing work with Barrera\, Dimitrov\,
Graham\, and Williams\, we have constructed such $p$-adic $L$-functions i
n $p$-adic families. These $p$-adic $L$-functions have recently been used
by Loeffler and Zerbes to prove instances of Bloch-Kato.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Meng Fai Lim (Central China Normal University)
DTSTART:20220406T080000Z
DTEND:20220406T090000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/7
DESCRIPTION:Title: On growth of arithmetic objects in tower of
number fields\nby Meng Fai Lim (Central China Normal University) as p
art of Iwasawa theory and p-adic L-functions\n\n\nAbstract\nThe essence of
Iwasawa theory is to study arithmetic objects via their variations in a t
ower of number fields. The theory was first initated by Iwasawa in the 196
0s to study the growth of the Sylow p-subgroup of the class groups in the
intermediate subfields of a Zp-extension of a number field F. The study ha
s since been extended to considering even K-groups\, Mordell-Weil groups\,
Tate-Shafarevich groups\, fine Selmer groups\, etale wild kernels and var
ious arithmetic objects over a p-adic Lie extension. In this talk\, we hop
e to give an overview and survey of these development.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xin Wan (Morningside)
DTSTART:20220413T080000Z
DTEND:20220413T090000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/12
DESCRIPTION:Title: Iwasawa main conjecture for universal fami
lies\nby Xin Wan (Morningside) as part of Iwasawa theory and p-adic L-
functions\n\n\nAbstract\nWe formulate and prove an Iwasawa main conjecture
for modular motives over the universal family of p-adic Langlands. From i
t we deduce Kato's Iwasawa main conjecture for modular forms without any a
ssumption on the level group at p\, and the BSD formula for rank 0 ellipti
c curves at primes of additive reduction. This is joint work with Olivier
Fouquet.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hamish Gilmore (Waikato)
DTSTART:20220420T030000Z
DTEND:20220420T040000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/13
DESCRIPTION:Title: L-invariants attached to the symmetric squ
are of an elliptic curve\nby Hamish Gilmore (Waikato) as part of Iwasa
wa theory and p-adic L-functions\n\n\nAbstract\nIn this talk\, I will desc
ribe the algebraic and analytic $\\mathcal{L}$-invariants attached to the
symmetric square of an elliptic curve. I will also present an algorithm to
compute the analytic $\\mathcal{L}$-invariant\, and some computational re
sults for elliptic curves of small conductor. This is joint work with Dani
el Delbourgo.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Takashi Hara (Tsuda)
DTSTART:20220427T080000Z
DTEND:20220427T090000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/14
DESCRIPTION:Title: On p-adic Artin L-functions for CM fields<
/a>\nby Takashi Hara (Tsuda) as part of Iwasawa theory and p-adic L-functi
ons\n\n\nAbstract\nWe explain how to construct p-adic Artin L-functions fo
r (p-ordinary) CM fields\, \nwhich interpolate critical values of Hecke L-
functions twisted by a fixed Artin representation. \nOur strategy is based
upon Greenberg's patching construction of p-adic Artin L-functions for to
tally real fields\,\nbut one observes new phenomena and difficulties in th
e CM case.\nIn this talk we would especially focus on differences between
Greenberg's work and ours.\nThis is joint work with Tadashi Ochiai.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Williams (Warwick)
DTSTART:20220504T080000Z
DTEND:20220504T090000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/15
DESCRIPTION:Title: p-adic L-functions for GL(3)\nby Chris
Williams (Warwick) as part of Iwasawa theory and p-adic L-functions\n\n\n
Abstract\nLet $\\pi$ be a p-ordinary cohomological cuspidal automorphic re
presentation of GL$(n\,A_Q)$. A conjecture of Coates--Perrin-Riou predicts
that the (twisted) critical values of its $L$-function $L(\\pi x\\chi\,s)
$\, for Dirichlet characters $\\chi$ of $p$-power conductor\, satisfy syst
ematic congruence properties modulo powers of $p$\, captured in the existe
nce of a $p$-adic $L$-function. For $n = 1\,2$ this conjecture has been kn
own for decades\, but for $n > 2$ it is known only in special cases\, e.g.
symmetric squares of modular forms\; and in all previously known cases\,
$\\pi$ is a functorial transfer via a proper subgroup of GL($n$). In this
talk\, I will explain what a p-adic L-function is\, state the conjecture m
ore precisely\, and then describe recent joint work with David Loeffler\,
in which we prove this conjecture for $n=3$ (without any transfer or self-
duality assumptions).\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dohyeong Kim (Seoul)
DTSTART:20220511T080000Z
DTEND:20220511T090000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/16
DESCRIPTION:Title: Iwasawa theory and Selmer schemes I\nb
y Dohyeong Kim (Seoul) as part of Iwasawa theory and p-adic L-functions\n\
n\nAbstract\nSelmer schemes generalize Selmer groups by allowing non-abeli
an coefficients. Given the success of Iwasawa theory in the study of Selme
r groups\, it is natural to wonder whether its non-abelian analogue can be
analyzed using similar tools. In the first talk\, I will build upon Sakug
awa's work on torsion Selmer pointed sets and extend his result. In the se
cond talk\, I will focus on the elliptic case of the non-abelian Chabauty
method. I will explain how a p-adic L-function can help us verify new case
s of the dimension hypothesis.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dohyeong Kim (Seoul)
DTSTART:20220518T080000Z
DTEND:20220518T090000Z
DTSTAMP:20260404T111330Z
UID:IwasawaTheoryAndpadicLfunctions/17
DESCRIPTION:Title: Iwasawa theory and Selmer schemes II\n
by Dohyeong Kim (Seoul) as part of Iwasawa theory and p-adic L-functions\n
\n\nAbstract\nSelmer schemes generalize Selmer groups by allowing non-abel
ian coefficients. Given the success of Iwasawa theory in the study of Selm
er groups\, it is natural to wonder whether its non-abelian analogue can b
e analyzed using similar tools. In the first talk\, I will build upon Saku
gawa's work on torsion Selmer pointed sets and extend his result. In the s
econd talk\, I will focus on the elliptic case of the non-abelian Chabauty
method. I will explain how a p-adic L-function can help us verify new cas
es of the dimension hypothesis.\n
LOCATION:https://stable.researchseminars.org/talk/IwasawaTheoryAndpadicLfu
nctions/17/
END:VEVENT
END:VCALENDAR