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BEGIN:VEVENT
SUMMARY:Rujie Yang (Stony Brook)
DTSTART:20201119T233000Z
DTEND:20201120T003000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/1
DESCRIPTION:Title: Decomposition theorem for semisimple local systems\nby Rujie Ya
ng (Stony Brook) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nA
bstract\nIn complex algebraic geometry\, the decomposition theorem asserts
that semisimple geometric objects remain semisimple after taking direct i
mages under proper algebraic maps. This was conjectured by Kashiwara and i
s proved by Mochizuki and Sabbah in a series of very long papers via harmo
nic analysis and D-modules. In this talk\, I would like to explain a simpl
er proof in the case of semisimple local systems using a more geometric ap
proach. This is joint work in progress with Chuanhao Wei.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alice Pozzi (Imperial College London)
DTSTART:20201203T233000Z
DTEND:20201204T003000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/2
DESCRIPTION:Title: Derivatives of Hida families and rigid meromorphic cocycles\nby
Alice Pozzi (Imperial College London) as part of UCSB Seminar on Geometry
and Arithmetic\n\n\nAbstract\nA rigid meromorphic cocycle is a class in t
he first cohomology of the group ${\\rm SL}_2(\\mathbb{Z}[1/p])$ acting on
the non-zero rigid meromorphic functions on the Drinfeld $p$-adic upper h
alf plane by Mobius transformation. Rigid meromorphic cocycles can be eval
uated at points of real multiplication\, and their values conjecturally li
e in the ring class field of real quadratic fields\, suggesting striking a
nalogies with the classical theory of complex multiplication.\n\nIn this t
alk\, we discuss the relation between the derivatives of certain $p$-adic
families of Hilbert modular forms and rigid meromorphic cocycles. We expla
in how the study of congruences between cuspidal and Eisenstein families a
llows us to show the algebraicity of the values of a certain rigid meromor
phic cocycle at real multiplication points.\n\nThis is joint work with Hen
ri Darmon and Jan Vonk.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jaclyn Lang (Oxford)
DTSTART:20201210T190000Z
DTEND:20201210T200000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/3
DESCRIPTION:Title: Eisenstein congruences at prime-square level and an application to
class numbers\nby Jaclyn Lang (Oxford) as part of UCSB Seminar on Geom
etry and Arithmetic\n\n\nAbstract\nIn Mazur's seminal work on the Eisenste
in ideal\, he showed that when $N$ and $p > 3$ are primes\, there is a wei
ght $2$ cusp form of level $N$ congruent to the unique weight $2$ Eisenste
in series of level $N$ if and only if $N = 1$ mod $p$. Calegari--Emerton\,
Lecouturier\, and Wake--Wang-Erickson have work that relates these cuspid
al-Eisenstein congruences to the $p$-part of the class group of $\\mathbb{
Q}(N^{1/p})$. Calegari observed that when $N = -1$ mod $p$\, one can use G
alois cohomology and some ideas of Wake--Wang-Erickson to show that $p$ di
vides the class group of $\\mathbb{Q}(N^{1/p})$. He asked whether there is
a way to directly construct the relevant degree $p$ everywhere unramified
extension of $\\mathbb{Q}(N^{1/p})$ in this case. After discussing some o
f this background\, I will report of work in progress with Preston Wake in
which we give a positive answer to this question using cuspidal-Eisenstei
n congruences at prime-square level.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bharath Palvannan (NCTS\, Taiwan)
DTSTART:20201217T233000Z
DTEND:20201218T003000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/4
DESCRIPTION:Title: Congruence ideal associated to Yoshida lifts\nby Bharath Palvan
nan (NCTS\, Taiwan) as part of UCSB Seminar on Geometry and Arithmetic\n\n
\nAbstract\nThis talk will be a report of work in progress with Ming-Lun H
sieh. In analogy with the study of the congruences involving Hecke eigenva
lues associated to Eisenstein series\, we study congruences involving p-ad
ic families of Hecke eigensystems associated to the space of Yoshida lifts
of two Hida families. Our goal is to show that under suitable assumptions
\, the characteristic ideal of the dual Selmer group associated to the Ran
kin--Selberg product of the Hida families is contained in the correspondin
g congruence ideal. We also discuss connections between pseudo-cyclicity o
f the dual Selmer group and higher codimension Iwasawa theory.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olivier Martin (Stony Brook)
DTSTART:20201210T233000Z
DTEND:20201211T003000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/5
DESCRIPTION:Title: The degree of irrationality of most abelian g-folds is at least 2g<
/a>\nby Olivier Martin (Stony Brook) as part of UCSB Seminar on Geometry a
nd Arithmetic\n\n\nAbstract\nThe degree of irrationality of a complex proj
ective n-dimensional variety X is the minimal degree of a dominant rationa
l map from X to n-dimensional projective space. It is a birational invaria
nt that measures how far X is from being rational. Accordingly\, one expec
ts the computation of this invariant in general to be a difficult problem.
Alzati and Pirola showed in 1993 that the degree of irrationality of any
abelian g-fold is at least g+1 using inequalities on holomorphic length. T
okunaga and Yoshihara later proved that this bound is sharp for abelian su
rfaces and Yoshihara asked for examples of abelian surfaces with degree of
irrationality at least 4. Recently\, Chen and Chen-Stapleton showed that
the degree of irrationality of any abelian surface is at most 4. In this w
ork\, I provide the first examples of abelian surfaces with degree of irra
tionality 4. In fact\, I show that most abelian g-folds have degree of irr
ationality at least 2g. We will present the proof of the case g=2 and indi
cate how to obtain the result in general. The argument rests on Mumford's
theorem on rational equivalence of zero-cycles on surfaces with p_g>0 alon
g with (new?) results on integral Hodge classes on self-products of abelia
n varieties.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sam Mundy (Columbia University)
DTSTART:20210108T230000Z
DTEND:20210109T000000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/6
DESCRIPTION:Title: Cuspidal $p$-adic deformations of critical Eisenstein series for $G
_2$\nby Sam Mundy (Columbia University) as part of UCSB Seminar on Geo
metry and Arithmetic\n\n\nAbstract\nIn this talk\, I will explain how (und
er certain standard conjectures of Arthur) Urban's eigenvariety allows us
to $p$-adically deform\, in generically cuspidal families\, critical $p$-s
tabilizations of certain maximal parabolic Eisenstein series for $G_2$. Th
is has consequences for the symmetric cube Bloch--Kato conjecture.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Botong Wang (University of Wisconsin-Madison)
DTSTART:20210115T230000Z
DTEND:20210116T000000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/7
DESCRIPTION:Title: The algebraic geometry of posets\nby Botong Wang (University of
Wisconsin-Madison) as part of UCSB Seminar on Geometry and Arithmetic\n\n
\nAbstract\nNatural poset (partially ordered set) structure arises in poly
hedral fans\, Coxeter groups\, and hyperplane arrangements. In nice cases\
, there exist stratified algebraic varieties realizing the above poset str
uctures\, namely toric varieties\, Schubert varieties\, and matroid Schube
rt varieties respectively. I will discuss how to prove combinatorial resul
ts using the corresponding algebraic varieties. I will also talk about how
to extend the above arguments beyond geometry\, for example\, the singula
r Hodge theory of arbitrary matroids. The last part is joint work with Tom
Braden\, June Huh\, Jacob Matherne and Nick Proudfoot.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ziyang Gao (CNRS/Jussieu)
DTSTART:20210122T190000Z
DTEND:20210122T200000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/8
DESCRIPTION:Title: Bound on the number of rational points on curves\nby Ziyang Gao
(CNRS/Jussieu) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAb
stract\nMazur conjectured\, after Faltings’s proof of the Mordell conjec
ture\, that the number of rational points on a curve is bounded from above
by the genus\, the degree of the number field and the Mordell-Weil rank.
In this talk I will explain the proof of this conjecture. This is joint wo
rk with Vesselin Dimitrov and Philipp Habegger.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nick Addington (University of Oregon)
DTSTART:20210129T230000Z
DTEND:20210130T000000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/9
DESCRIPTION:Title: Moduli spaces of sheaves on moduli spaces of sheaves\nby Nick A
ddington (University of Oregon) as part of UCSB Seminar on Geometry and Ar
ithmetic\n\n\nAbstract\nIt often happens that if M is a moduli space of ve
ctor bundles on a curve C\, then C is also a moduli space of vector bundle
s on M\, where the bundles on M come from taking "wrong-way slices" of the
the universal bundle on M x C. This story starts in the '70s and is due t
o Narasimhan and Ramanan\, Newstead\, and others. Reede and Zhang recentl
y observed that a similar result holds for some Hilbert schemes of points\
, and for certain moduli spaces of rank-0 sheaves on K3 surfaces. I will
discuss joint work with my student Andrew Wray\, showing that it holds for
moduli spaces of high-rank sheaves on K3 surfaces. Techniques include th
e Quillen metric on determinant line bundles and twistor families of hyper
kaehler manifolds.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ziquan Yang (Harvard University)
DTSTART:20210205T230000Z
DTEND:20210206T000000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/10
DESCRIPTION:Title: Finiteness and the Tate Conjecture in Codimension 2 for K3 Squares
\nby Ziquan Yang (Harvard University) as part of UCSB Seminar on Geome
try and Arithmetic\n\n\nAbstract\nTwo years ago\, via a refined CM lifting
theory\, Ito-Ito-Koshikawa proved the Tate Conjecture for squares of K3 s
urfaces over finite fields by reducing to Tate's theorem on the endomorphi
sms of abelian varieties. I will explain a different proof\, which is base
d on a twisted version of Fourier-Mukai transforms between K3 surfaces. In
particular\, I do not use Tate's theorem after assuming some known proper
ties of individual K3's. The main purpose of doing so is to illustrate Tat
e's insight on the connection between the Tate conjecture and the positivi
ty results in algebraic geometry for codimension 2 cycles\, through some "
geometry in cohomological degree 2".\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiuya Wang (Duke University)
DTSTART:20210212T230000Z
DTEND:20210213T000000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/11
DESCRIPTION:Title: Pointwise Bound for $\\ell$-torsion of Class Groups\nby Jiuya
Wang (Duke University) as part of UCSB Seminar on Geometry and Arithmetic\
n\n\nAbstract\n$\\ell$-torsion conjecture states that $\\ell$-torsion of t
he class group $|\\text{Cl}_K[\\ell]|$ for every number field $K$ is bound
ed by $\\text{Disc}(K)^{\\epsilon}$. It follows from a classical result of
Brauer-Siegel\, or even earlier result of Minkowski that the class number
$|\\text{Cl}_K|$ of a number field $K$ are always bounded by $\\text{Disc
}(K)^{1/2+\\epsilon}$\, therefore we obtain a trivial bound\n$\\text{Disc}
(K)^{1/2+\\epsilon}$ on $|\\text{Cl}_K[\\ell]|$. We will talk about recent
works on breaking the trivial bound for $\\ell$-torsion of class groups i
n some cases based on the work of Ellenberg-Venkatesh. We will also mentio
n several questions following this line.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Smith (MIT)
DTSTART:20210219T230000Z
DTEND:20210220T000000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/12
DESCRIPTION:Title: Selmer groups and a Cassels-Tate pairing for finite Galois modules
\nby Alexander Smith (MIT) as part of UCSB Seminar on Geometry and Ari
thmetic\n\n\nAbstract\nI will discuss some new results on the structure of
Selmer groups of finite Galois modules over global fields. Tate's definit
ion of the Cassels-Tate pairing can be extended to a pairing on such Selme
r groups with little adjustment\, and many of the fundamental properties o
f the Cassels-Tate pairing can be reproved with new methods in this settin
g. I will also give a general definition of the theta/Mumford group and re
late it to the structure of the Cassels-Tate pairing\, generalizing work o
f Poonen and Stoll.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peng Zhou (UC Berkeley)
DTSTART:20210226T230000Z
DTEND:20210227T000000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/13
DESCRIPTION:Title: Derived Equivalences from Variation of Lagrangian Skeletons\nb
y Peng Zhou (UC Berkeley) as part of UCSB Seminar on Geometry and Arithmet
ic\n\n\nAbstract\nA Lagrangian skeleton is a singular Lagrangian in a symp
lectic manifold\, such that it has a tubular neighborhood as Weinstein man
ifold. One can associate a category (wrapped Fukaya category) to a Lagrang
ian skeleton\, and study when does the category remain invariant as the La
grangian varies. Many categories in mirror symmetry and representation the
ory can be described using such categories on Lagrangian skeletons\, and i
t’s interesting to see how variation of skeleton induces derived equival
ences between categories. I will begin with definition and basic examples\
, no prior knowledge of wrapped Fukaya category is needed. Some of the res
ults are based on works arXiv:1804.08928\, arXiv:2011.03719\, arXiv:201
1.06114 (joint with Jesse Huang).\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kazuto Ota (Osaka University)
DTSTART:20210312T230000Z
DTEND:20210313T000000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/14
DESCRIPTION:Title: On Iwasawa theory for CM elliptic curves at inert primes\nby K
azuto Ota (Osaka University) as part of UCSB Seminar on Geometry and Arith
metic\n\n\nAbstract\nIn this talk\, I will report on recent work on the an
ticyclotomic Iwasawa theory for CM elliptic curves at inert primes. A key
result is a structure theorem of local units predicted by Rubin\, which le
ads to new developments in supersingular Iwasawa theory\, an instance: a B
ertolini-Darmon-Prasanna style formula for Rubin's p-adic L-function. I wi
ll also discuss the BDP formula and applications. This is joint work with
Ashay Burungale and Shinichi Kobayashi.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jie Lin (Universitat Duiburg-Essen)
DTSTART:20210319T180000Z
DTEND:20210319T190000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/15
DESCRIPTION:Title: Periods and L-values of automorphic motives\nby Jie Lin (Unive
rsitat Duiburg-Essen) as part of UCSB Seminar on Geometry and Arithmetic\n
\n\nAbstract\nIn this talk\, we will first introduce a conjecture of Delig
ne on special values of L-functions. This conjecture generalizes the famou
s result by Euler on the Riemann zeta values at positive even integers\, a
nd predicts a relation between motivic L-values and geometric periods. We
will then explain an approach towards this conjecture for automorphic moti
ves and summarize some recent progress (joint with H. Grobner and M. Harri
s)\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Nguyen (UCSB)
DTSTART:20210305T230000Z
DTEND:20210306T000000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/16
DESCRIPTION:Title: Distribution of the ternary divisor function in arithmetic progres
sions\nby David Nguyen (UCSB) as part of UCSB Seminar on Geometry and
Arithmetic\n\n\nAbstract\nThe ternary divisor function\, denoted $\\tau_3(
n)$\, counts the number of ways to write a natural number $n$ as an ordere
d product of three positive integers. Thus\, $\\sum_{n=1}^\\infty \\tau_3(
n) n^{-s} = \\zeta^3(s).$ Given two coprime positive integers $a$ and $q$\
, we study the distribution of $\\tau_3$ in arithmetic progressions $n \\e
quiv a (\\text{mod } q).$ The distribution of $\\tau_3$ in arithmetic prog
ressions has a rich history and has applications to the distribution of pr
ime numbers and moments of Dirichlet $L$-functions. We show that $\\tau_3$
is equidistributed on average for moduli $q$ up to $X^{2/3}$\, extending
the individual estimate of Friedlander and Iwaniec (1985). We will also di
scuss an averaged variance of $\\tau_3$ in arithmetic progressions related
to a recent conjecture of Rodgers and Soundararajan (2018) about asymptot
ic of this variance. One of the key inputs to this asymptotic come from a
modified additive correlation sum of $\\tau_3.$\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Isabel Vogt (University of Washington)
DTSTART:20210402T220000Z
DTEND:20210402T230000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/17
DESCRIPTION:Title: Brill--Noether theory over the Hurwitz space\nby Isabel Vogt (
University of Washington) as part of UCSB Seminar on Geometry and Arithmet
ic\n\n\nAbstract\nLet C be a curve of genus g. A fundamental problem in th
e theory of algebraic curves is to understand maps of C to projective spac
e of dimension r of degree d. When the curve C is general\, the moduli spa
ce of such maps is well-understood by the main theorems of Brill--Noether
theory. However\, in nature\, curves C are often encountered already equi
pped with a map to some projective space\, which may force them to be spec
ial in moduli. The simplest case is when C is general among curves of fix
ed gonality. Despite much study over the past three decades\, a similarly
complete picture has proved elusive in this case. In this talk\, I will d
iscuss joint work with Eric Larson and Hannah Larson that completes such a
picture\, by proving analogs of all of the main theorems of Brill--Noethe
r theory in this setting. In the course of our degenerative argument\, we
'll exploit a close relationship with the combinatorics of the affine symm
etric group.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Huachen Chen (UCSB)
DTSTART:20210409T220000Z
DTEND:20210409T230000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/18
DESCRIPTION:Title: Brill-Noether loci for K3 categories\nby Huachen Chen (UCSB) a
s part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstract\nI will di
scuss Brill-Noether loci in moduli spaces of stable objects in K3 categori
es. The question we are interested is whether these Brill-Noether loci are
of expected dimensions. I will explain how the symplectic structures on t
he moduli spaces guarantee a large class of Brill-Noether loci has dimensi
ons as expected. This is based on joint work with Arend Bayer and Qingyuan
Jiang.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tony Feng (MIT)
DTSTART:20210416T220000Z
DTEND:20210416T230000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/19
DESCRIPTION:Title: Higher Siegel-Weil formulas over function fields\nby Tony Feng
(MIT) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstract\nT
he Siegel-Weil formula relates the integral of a theta function along a cl
assical group H to a special value of a Siegel-Eisenstein series on anothe
r group G. Kudla proposed an "arithmetic analogue" of the Siegel-Weil form
ula\, relating intersection numbers of special cycles on Shimura varieties
for H to the first derivative at a special value of a Siegel-Eisenstein s
eries on G. We study a function field analogue of this problem in joint wo
rk with Zhiwei Yun and Wei Zhang. We define special cycles on moduli stack
s of unitary shtukas\, construct associated virtual fundamental classes\,
and relate their degrees to the derivatives to *all* orders of Siegel-Eise
nstein series. The results can be seen as “higher derivative” analogue
s of the Kudla-Rapoport Conjecture. A key to the proof is a categorificati
on of local density formulas for Fourier coefficients of Eisenstein series
\, and a parallel categorification of the degrees of virtual fundamental c
lasses of special cycles\, in terms of a global variant of Springer theory
.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gill Moss (University of Utah)
DTSTART:20210423T221000Z
DTEND:20210423T231000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/20
DESCRIPTION:Title: Moduli of Langlands parameters\nby Gill Moss (University of Ut
ah) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstract\nThe
local Langlands correspondence connects representations of p-adic groups t
o Langlands parameters\, which are certain representations of Galois group
s of local fields. In recent work with Dat\, Helm\, and Kurinczuk\, we hav
e shown that Langlands parameters\, when viewed through the right lens\, o
ccur naturally within a moduli space over Z[1/p]\, and we can say some thi
ngs about the geometry of this moduli space. This geometry should be refle
cted in the representation theory of p-adic groups\, on the other side of
the local Langlands correspondence. The "local Langlands in families" conj
ecture describes the moduli space of Langlands parameters in terms of the
center of the category of representations of the p-adic group-- it was est
ablished for GL(n) in 2018. The goal of the talk is to give an overview of
this picture\, including current work in-progress\, with some discussion
of the relation with recent work of Zhu and Fargues-Scholze.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Litt (University of Georgia)
DTSTART:20210430T220000Z
DTEND:20210430T230000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/21
DESCRIPTION:Title: The tropical section conjecture\nby Daniel Litt (University of
Georgia) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstract
\nGrothendieck's section conjecture predicts that for a curve X of genus a
t least 2 over an arithmetically interesting field (say\, a number field o
r p-adic field)\, the étale fundamental group of X encodes all the inform
ation about rational points on X. In this talk I will formulate a tropical
analogue of the section conjecture and explain how to use methods from lo
w-dimensional topology and moduli theory to prove many cases of it. As a b
yproduct\, I'll construct many examples of curves for which the section co
njecture is true\, in interesting ways. For example\, I will explain how t
o prove the section conjecture for the generic curve\, and for the generic
curve with a rational divisor class\, as well as how to construct curves
over p-adic fields which satisfy the section conjecture for geometric reas
ons. This is joint work with Wanlin Li\, Nick Salter\, and Padma Srinivasa
n.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yukako Kezuka (Max Planck Institute)
DTSTART:20210507T180000Z
DTEND:20210507T190000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/22
DESCRIPTION:Title: Tamagawa number divisibility of central $L$-values\nby Yukako
Kezuka (Max Planck Institute) as part of UCSB Seminar on Geometry and Arit
hmetic\n\n\nAbstract\nIn this talk\, I will study the conjecture of Birch
and Swinnerton-Dyer for elliptic curves $E$ of the form $x^3+y^3=N$ for cu
be-free positive integers $N$. They are cubic twists of the Fermat ellipt
ic curve $x^3+y^3=1$\, and admit complex multiplication by the ring of int
egers of $\\mathbb{Q}(\\sqrt{-3})$. First\, I will study the $p$-adic valu
ation of the algebraic part of their central $L$-values\, and exhibit a cu
rious relation between the $3$-part of the Tate--Shafarevich group of $E$
and the number of prime divisors of $N$ which are inert in $\\mathbb{Q}(\\
sqrt{-3})$. In the second part of the talk\, I will study in more detail t
he cases when $N=2p$ or $2p^2$ for an odd prime number $p$ congruent to $2
$ or $5$ modulo $9$. For these curves\, we establish the $3$-part of the B
irch--Swinnerton-Dyer conjecture and a relation between the ideal class gr
oup of $\\mathbb{Q}(\\sqrt[3]{p})$ and the $2$-Selmer group of $E$\, which
can be used to study non-triviality of the $2$-part of their Tate--Shafar
evich group. The second part of this talk is joint work with Yongxiong Li.
\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adel Betina (University of Vienna)
DTSTART:20210514T180000Z
DTEND:20210514T190000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/23
DESCRIPTION:Title: Eisenstein intersection points on the Hilbert Eigenvariety\nby
Adel Betina (University of Vienna) as part of UCSB Seminar on Geometry an
d Arithmetic\n\n\nAbstract\nIn this talk\, we will report a joint work wit
h M. Dimitrov and S.C. Shih in which we study the local geometry of the H
ilbert Eigenvariety at an intersection point between an Eisenstein compone
nt and the cuspidal locus. As applications\, we show the non-vanishing of
certain Katz $p$-adic $L$-functions at $s=0$ and give a new proof of the G
ross-Stark conjecture in the rank one case.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Boya Wen (Princeton University)
DTSTART:20210521T220000Z
DTEND:20210521T230000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/24
DESCRIPTION:Title: A Gross-Zagier Formula for CM cycles over Shimura Curves\nby B
oya Wen (Princeton University) as part of UCSB Seminar on Geometry and Ari
thmetic\n\n\nAbstract\nIn this talk I will introduce my thesis work (in pr
eparation) to prove a Gross-Zagier formula for CM cycles over Shimura curv
es. The formula connects the global height pairing of special cycles in Ku
ga varieties over Shimura curves with the derivatives of the L-functions a
ssociated to weight-2k modular forms. As a key original ingredient of the
proof\, I will introduce some harmonic analysis on local systems over grap
hs\, including an explicit construction of Green's function\, which we app
ly to compute some local intersection numbers.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jon Aycock (University of Oregon)
DTSTART:20210528T220000Z
DTEND:20210528T230000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/25
DESCRIPTION:Title: Overconvergent Differential Operators for Hilbert Modular Forms\nby Jon Aycock (University of Oregon) as part of UCSB Seminar on Geometr
y and Arithmetic\n\n\nAbstract\nIn the 1970's\, Katz constructed p-adic L-
functions for CM fields by relating the values of the Dedekind zeta functi
on to the values of certain nearly holomorphic Eisenstein series. Crucial
in his construction was the action of the Maass--Shimura differential oper
ators. Katz's p-adic interpolation of these differential operators is only
defined over the ordinary locus\, which leads to a restriction on what p
are allowed. Recently\, this restriction has been lifted in the case of qu
adratic imaginary fields by Andreatta and Iovita using an "overconvergent"
analog of the Maass--Shimura operator for elliptic modular forms. We will
give an overview of the theory of overconvergent Hilbert modular forms be
fore constructing an "overconvergent" analog of the Maass--Shimura operato
r for this setting.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anthony Várilly-Alvarado (Rice University)
DTSTART:20210604T220000Z
DTEND:20210604T230000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/26
DESCRIPTION:Title: From Merel's theorem to Brauer groups of K3 surfaces\nby Antho
ny Várilly-Alvarado (Rice University) as part of UCSB Seminar on Geometry
and Arithmetic\n\n\nAbstract\nOver number fields\, the Brauer group of a
K3 surface behaves similarly to the subgroup of points of finite order of
an elliptic curve. In 1996\, Merel showed that the order of the torsion s
ubgroup of an elliptic curve E/K is bounded by a constant depending only o
n the degree of the extension [K:Q]. I will discuss an analogous conjectu
re in the context of Brauer groups of K3 surfaces\, and the evidence we ha
ve accumulated so far for it.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yilong Zhang (Ohio State University)
DTSTART:20210611T220000Z
DTEND:20210611T230000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/27
DESCRIPTION:Title: Hilbert schemes of skew lines on cubic threefolds\nby Yilong Z
hang (Ohio State University) as part of UCSB Seminar on Geometry and Arith
metic\n\n\nAbstract\nOn a smooth cubic threefold Y\, a pairs of skew lines
determines an irreducible component H of the Hilbert scheme of Y. We will
show that the component H is smooth and is isomorphic to the blow-up of t
he 2nd symmetric product of Fano surface of lines on Y along the diagonal.
This work is based on the work on Hilbert schemes of skew lines on projec
tive spaces by Chen-Coskun-Nollet in 2011. Moreover\, I'll explain the rel
ation of the component H to the compactification of locus of vanishing cyc
les on hyperplane sections of Y and the stable moduli space considered by
Altavilla-Petkovic-Rota.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Salim Tayou (Harvard)
DTSTART:20211028T233000Z
DTEND:20211029T010000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/28
DESCRIPTION:Title: Equidistribution of Hodge loci\nby Salim Tayou (Harvard) as pa
rt of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstract\nGiven a polar
ized variation of Hodge structures\, the Hodge locus is a countable union
of proper algebraic subvarieties where extra Hodge classes appear. In this
talk\, I will explain a general equidistribution theorem for these Hodge
loci and explain several applications: equidistribution of higher codimens
ion Noether-Lefschetz loci\, equidistribution of Hecke translates of a cur
ve in the moduli space of abelian varieties and equidistribution of some f
amilies of CM points in Shimura varieties. The results of this talk are jo
int work with Nicolas Tholozan.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cristian Popescu (UCSD)
DTSTART:20211104T233000Z
DTEND:20211105T010000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/29
DESCRIPTION:Title: An equivariant Tamagawa number formula for Drinfeld modules and be
yond\nby Cristian Popescu (UCSD) as part of UCSB Seminar on Geometry a
nd Arithmetic\n\n\nAbstract\nTo a Galois extension of characteristic p glo
bal fields and a suitable Drinfeld module\,\none can associate an equivari
ant\, characteristic p valued\, rigid analytic Goss-type L-function. \nI w
ill discuss the construction of this L-function and the statement and proo
f of a (Tamagawa number) formula for \nits special value at 0\, which gen
eralizes to the Galois equivariant setting Taelman's celebrated class-numb
er formula\, \nproved in 2012. Next\, I will show how this formula implies
a perfect analog of the Brumer-Stark conjecture for Drinfeld modules.\nIf
time permits\, I will discuss the very recent extension of the above form
ula to the much larger category of t-modules\n(t-motives)\, as well as its
applications to the development of an Iwasawa theory for Drinfeld modules
. The lecture is based\non several recent joint works with N. Green\, J. F
errara and Z. Higgins.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Isabella Negrini (McGill University)
DTSTART:20211203T003000Z
DTEND:20211203T020000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/30
DESCRIPTION:Title: A Shimura-Shintani correspondence for rigid analytic cocycles\
nby Isabella Negrini (McGill University) as part of UCSB Seminar on Geomet
ry and Arithmetic\n\n\nAbstract\nIn their paper Singular moduli for real q
uadratic fields: a rigid analytic approach\, Darmon and Vonk introduced ri
gid meromorphic cocycles\, i.e. elements of $H^1(\\mathrm{SL}_2(\\mathbb{Z
}[1/p])\,\\mathcal{M}^\\times)$ where $\\mathcal{M}^\\timesx$ is the multi
plicative group of rigid meromorphic functions on the $p$-adic upper-half
plane. Their values at RM points belong to narrow ring class fields of rea
l quadratic fiends and behave analogously to CM values of modular function
s on $\\mathrm{SL}_2(\\mathbb{Z})\\backslash\\mathbb{H}$. In this talk I w
ill present some progress towards developing a Shimura-Shintani correspond
ence in this setting.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kazim Buyukboduk (UC Dublin)
DTSTART:20220120T173000Z
DTEND:20220120T183000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/31
DESCRIPTION:Title: Arithmetic of $\\theta$-critical p-adic L-functions\nby Kazim
Buyukboduk (UC Dublin) as part of UCSB Seminar on Geometry and Arithmetic\
n\n\nAbstract\nIn joint work with Denis Benois\, we give an étale constru
ction of Bellaïche's p-adic L-functions about $\\theta$-critical points o
n the Coleman–Mazur eigencurve. I will discuss applications of this cons
truction towards leading term formulae in terms of p-adic regulators on wh
at we call the thick Selmer groups\, which come attached to the infinitesi
mal deformation at the said \\theta-critical point along the eigencurve\,
and an exotic ($\\Lambda$-adic) $\\mathcal{L}$-invariant. Besides our inte
rpolation of the Beilinson–Kato elements about this point\, the key inpu
t to prove the interpolative properties of this p-adic L-function is a new
p-adic Hodge-theoretic "eigenspace-transition via differentiation" princi
ple.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andres Fernandez Herrero (Cornell University)
DTSTART:20220128T003000Z
DTEND:20220128T020000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/32
DESCRIPTION:Title: Intrinsic construction of moduli spaces via affine Grassmannians\nby Andres Fernandez Herrero (Cornell University) as part of UCSB Semin
ar on Geometry and Arithmetic\n\n\nAbstract\nModuli spaces arise as a geom
etric way of classifying objects of interest in algebraic geometry. For ex
ample\, there exists a quasiprojective moduli space that parametrizes stab
le vector bundles on a smooth projective curve C. In order to further unde
rstand the geometry of this space\, Mumford constructed a compactification
by adding a boundary parametrizing semistable vector bundles. If the smoo
th curve C is replaced by a higher dimensional projective variety X\, then
one can compactify the moduli problem by allowing vector bundles to degen
erate to an object known as a "torsion-free sheaf". Gieseker and Maruyama
constructed moduli spaces of semistable torsion-free sheaves on such a var
iety X. More generally\, Simpson proved the existence of moduli spaces of
semistable pure sheaves supported on smaller subvarieties of X. All of the
se constructions use geometric invariant theory (GIT).\n\nFor a projective
variety X\, the moduli problem of coherent sheaves on X is naturally para
metrized by an algebraic stack M\, which is a geometric object that natura
lly encodes the notion of families of sheaves. In this talk I will explain
a GIT-free construction of the moduli space of Gieseker semistable pure s
heaves which is intrinsic to the moduli stack M. This approach also yields
a Harder-Narasimhan stratification of the unstable locus of the stack. Ou
r main technical tools are the theory of Theta-stability introduced by Hal
pern-Leistner\, and some recent techniques developed by Alper\, Halpern-Le
istner and Heinloth. In order to apply these results\, one needs to prove
some monotonicity conditions for a polynomial numerical invariant on the s
tack. We show monotonicity by defining a higher dimensional analogue of th
e affine grassmannian for pure sheaves. I will also explain some applicati
ons of these ideas to other moduli problems. This talk is based on joint w
ork with Daniel Halpern-Leistner and Trevor Jones\, as well as work with T
omas Gomez and Alfonso Zamora.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Disegni (BGU)
DTSTART:20220203T173000Z
DTEND:20220203T190000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/33
DESCRIPTION:Title: Theta cycles\nby Daniel Disegni (BGU) as part of UCSB Seminar
on Geometry and Arithmetic\n\n\nAbstract\nFor any elliptic curve E over Q\
, an explicit construction yields a point P in E(Q) that is canonical\, in
the following sense: (*) P is non-torsion <=> the group E(Q) and all p^\\
infty-Selmer groups of E have rank 1.\nI will discuss a partial generaliza
tion of this picture to higher-rank motives M enjoying a `conjugate-symple
ctic’ symmetry\; examples arise from symmetric products of elliptic curv
es. The construction of the “canonical algebraic cycle on M"\, based on
works of Kudla and Y. Liu\, uses theta series valued in Chow groups of Shi
mura varieties\, and it relies on two very different modularity conjecture
s. Assuming those\, I will present a version of the " => " part of (*)\, w
hose proof uses recent advances in the theory of Euler systems.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stevan Gajovic (University of Groningen)
DTSTART:20220210T173000Z
DTEND:20220210T190000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/34
DESCRIPTION:Title: Quadratic Chabauty for integral points and p-adic heights on even
degree hyperelliptic curves\nby Stevan Gajovic (University of Groninge
n) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstract\nIn th
is talk\, we show how to construct p-adic (Coleman-Gross) heights on even
degree hyperelliptic curves\, more precisely\, its local component above p
. Using heights\, we construct a locally analytic function that we use to
compute integral points on certain even degree hyperelliptic curves whose
Jacobian has Mordell-Weil rank over Q equal to the genus. This is joint wo
rk with Steffen Müller.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sarah Frei (Rice University)
DTSTART:20220225T003000Z
DTEND:20220225T020000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/35
DESCRIPTION:Title: Reduction of Brauer classes on K3 surfaces\nby Sarah Frei (Ric
e University) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbst
ract\nFor a very general polarized K3 surface over the rational numbers\,
it is a consequence of the Tate conjecture that the Picard rank jumps upon
reduction modulo any prime. This jumping in the Picard rank is countered
by a drop in the size of the Brauer group. In this talk\, I will report on
joint work with Brendan Hassett and Anthony Várilly-Alvarado\, in which
we consider the following: Given a non-trivial Brauer class on a very gene
ral polarized K3 surface over Q\, how often does this class become trivial
upon reduction modulo various primes? This has implications for the ratio
nality of reductions of cubic fourfolds as well as reductions of twisted d
erived equivalent K3 surfaces.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chan-Ho Kim (Korea Institute for Advanced Study)
DTSTART:20220422T003000Z
DTEND:20220422T020000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/36
DESCRIPTION:Title: A structural refinement of Birch and Swinnerton-Dyer conjecture\nby Chan-Ho Kim (Korea Institute for Advanced Study) as part of UCSB Sem
inar on Geometry and Arithmetic\n\n\nAbstract\nWe discuss a new applicatio
n of (a part of) the Iwasawa main conjecture to the non-triviality of Kato
's Kolyvagin systems and a structural refinement of Birch and Swinnerton-D
yer conjecture. If time permits\, a certain relation with Heegner point Ko
lyvagin systems will be discussed.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xin Wan (Chinese Academy of Sciences)
DTSTART:20220429T003000Z
DTEND:20220429T020000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/37
DESCRIPTION:Title: Iwasawa theory and Bloch-Kato conjecture for unitary groups\nb
y Xin Wan (Chinese Academy of Sciences) as part of UCSB Seminar on Geometr
y and Arithmetic\n\n\nAbstract\nwe discuss a new way to study Iwasawa theo
ry and Eisenstein congruences on unitary groups of general signature using
p-adic functional equation\, and deduce from it consequences on Bloch-Kat
o conjecture in the ordinary case. We also discuss work in progress with C
astella and Liu to generalize this to finite slope cases.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Waqar Shah (UCSB)
DTSTART:20220929T233000Z
DTEND:20220930T010000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/38
DESCRIPTION:Title: Zeta elements for Shimura Varieties I: Generalities\nby Waqar
Shah (UCSB) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstra
ct\nA well-established technique towards understanding Selmer groups of Ga
lois representations is the construction of an Euler system. One may ask i
f such systems can be created for Galois representations that arise in the
cohomology of a given Shimura variety. For such purposes\, it is customar
y to utilize push-forwards of fundamental cycles or Eisenstein classes fro
m sub-Shimura varieties\, and to then establish norm relations between the
push-forwarded classes involving certain Hecke operators which compute ap
propriate automorphic L-factors.\n\nIn this talk\, I will motivate how cla
ssical Euler systems such as Kato's Siegel units and Kolyvagin's Heegner p
oints may be viewed through an axiomatic lens and build up to a general fr
amework in which norm relations for higher dimensional Shimura varieties m
ay be systematically studied. I will highlight some of the computational c
hallenges that arise in higher dimensions and outline a theory of double c
oset decompositions due to Lansky that allows one to overcome these challe
nges. In the next talk\, I'll apply these techniques to concrete examples
of arithmetic interest\, some old and some new.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Waqar Shah (UCSB)
DTSTART:20221006T233000Z
DTEND:20221007T010000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/39
DESCRIPTION:Title: Zeta elements for Shimura varieties II: Examples\nby Waqar Sha
h (UCSB) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstract\
nIn this second talk\, I will begin by reviewing a generalization of the d
ouble coset decomposition recipe for parahoric subgroups originally due to
Lansky and illustrate the recipe in some simple cases. Paired with the ma
chinery of zeta elements and mixed Hecke correspondences that I described
in my previous talk\, this decomposition recipe yields a powerful and effe
ctive method for studying norm relation problems for classes constructed u
sing the push-forward formalism that would otherwise be too cumbersome to
study directly. I will illustrate this method in two key situations of ari
thmetic interest that were recently studied using alternate methods: Shimu
ra varieties of GU(1\,2n-1) & GSp_4. I will also highlight several key tec
hnical advantages of this approach over the earlier ones in these cases. T
ime permitting\, I will discuss a new example of an Euler system for the G
alois representations arising from GU(2\,2) Shimura varieties.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Graham (Université Paris-Saclay)
DTSTART:20221201T173000Z
DTEND:20221201T190000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/40
DESCRIPTION:Title: A unipotent circle action on nearly overconvergent modular forms\nby Andrew Graham (Université Paris-Saclay) as part of UCSB Seminar on
Geometry and Arithmetic\n\n\nAbstract\nRecent work of Howe shows that the
action of the Atkin--Serre operator on p-adic modular forms can be reinte
rpreted as a $\\widehat{\\mathbb{G}}_m$ action on the Katz Igusa tower. By
p-adic Fourier theory\, this gives an action of continuous functions on $
\\mathbb{Z}_p$ on sections of the Igusa tower (p-adic modular forms). In t
his talk I will explain how one can ``overconverge'' this action\, i.e. sh
ow that the subspace of nearly overconvergent modular forms is stable unde
r the action of locally analytic functions on $\\mathbb{Z}_p$. This recove
rs (but is more general than) the construction of Andreatta--Iovita and ha
s applications to the construction of p-adic L-functions. (Joint work with
Vincent Pilloni and Joaquin Rodrigues).\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Florian Sprung (Arizona State University)
DTSTART:20230217T003000Z
DTEND:20230217T020000Z
DTSTAMP:20260404T111136Z
UID:UCSBsga/41
DESCRIPTION:Title: On characteristic power series of dual signed Selmer groups\nb
y Florian Sprung (Arizona State University) as part of UCSB Seminar on Geo
metry and Arithmetic\n\n\nAbstract\nIn joint work with Jishnu Ray\, we rel
ate the cardinality of the p-primary part of the Bloch-Kato Selmer group o
ver Q attached to a modular form at a non-ordinary prime p to the constant
term of the characteristic power series of the signed Selmer groups over
the cyclotomic Zp-extension of Q. This generalizes a result of Vigni and L
ongo in the ordinary case. In the case of elliptic curves\, such results f
ollow from earlier works by Greenberg\, Kim\, the second author\, and Ahme
d–Lim\, covering both the ordinary and most of the supersingular case.\n
LOCATION:https://stable.researchseminars.org/talk/UCSBsga/41/
END:VEVENT
END:VCALENDAR