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BEGIN:VEVENT
SUMMARY:Tobias Berger (The University of Sheffield)
DTSTART;VALUE=DATE-TIME:20240116T200000Z
DTEND;VALUE=DATE-TIME:20240116T210000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/1
DESCRIPTION:Title: Pseudomodularity of residually reducible Galois representat
ions\nby Tobias Berger (The University of Sheffield) as part of The Gr
aduate Center Arithmetic Geometry Seminar\n\nLecture held in The Graduate
Center.\n\nAbstract\nAfter a survey of previous work I will present new re
sults on pseudomodularity of residually reducible Galois representations w
ith 3 residual pieces. I will discuss applications to proving modularity o
f Galois representations arising from abelian surfaces and Picard curves.
This is joint work with Krzysztof Klosin (CUNY).\n\nPasscode for Zoom link
: 169\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dorota Blinkiewicz (University of A. Mickiewicz)
DTSTART;VALUE=DATE-TIME:20240507T190000Z
DTEND;VALUE=DATE-TIME:20240507T200000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/8
DESCRIPTION:Title: Linear relations in semiabelian varieties\nby Dorota Bl
inkiewicz (University of A. Mickiewicz) as part of The Graduate Center Ari
thmetic Geometry Seminar\n\nLecture held in The Graduate Center.\n\nAbstra
ct\nIn the lecture I will discuss results concerning the detecting linear
dependence problem\, with torsion ambiguity\, for a family of semiabelian
varieties G over a number field F and for any finitely generated subgroup
H of a Mordell-Weil group G(F). For more than 40 years\, this problem has
been investigated for abelian varieties and tori by numerous authors. In t
he lecture I will show results concerning the problem for semiabelian vari
eties and I will also show counterexamples leading to families of wild 1-m
otives.\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kalyani Kansal (Institute for Advanced Study)
DTSTART;VALUE=DATE-TIME:20240206T200000Z
DTEND;VALUE=DATE-TIME:20240206T210000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/17
DESCRIPTION:Title: Irregular loci in the Emerton-Gee stack for GL2\nby Ka
lyani Kansal (Institute for Advanced Study) as part of The Graduate Center
Arithmetic Geometry Seminar\n\nLecture held in The Graduate Center.\n\nAb
stract\nLet K be a finite extension of $\\mathbb Q_p$. The Emerton-Gee sta
ck for GL2 is a stack of etale (phi\, Gamma)-modules of rank two. Its redu
ced part\, X\, is an algebraic stack of finite type over a finite field\,
and can be viewed as a moduli stack of two dimensional mod p representatio
ns of the absolute Galois group of K. By the work of Caraiani\, Emerton\,
Gee and Savitt\, it is known that in most cases\, the locus of mod p repre
sentations admitting crystalline lifts with specified regular Hodge-Tate w
eights is an irreducible component of X. Their work relied on a detailed s
tudy of a closely related stack of etale phi-modules which admits a map fr
om a stack of Breuil-Kisin modules with descent data. In our work\, we ass
ume K is unramfied and further study this map with a view to studying the
loci of mod p representations admitting crystalline lifts with small\, irr
egular Hodge-Tate weights. We identify these loci as images of certain irr
educible components of the stack of Breuil-Kisin modules and obtain severa
l inclusions of the non-regular loci into the irreducible components of X.
This is joint work with Rebecca Bellovin\, Neelima Borade\, Anton Hilado\
, Heejong Lee\, Brandon Levin\, David Savitt and Hanneke Wiersema.\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jim Brown (Occidental College)
DTSTART;VALUE=DATE-TIME:20240220T200000Z
DTEND;VALUE=DATE-TIME:20240220T210000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/18
DESCRIPTION:Title: Coding theory\, lattices\, and theta functions\nby Jim
Brown (Occidental College) as part of The Graduate Center Arithmetic Geom
etry Seminar\n\nLecture held in The Graduate Center.\n\nAbstract\nCoding t
heory is the branch of mathematics that strives to find efficient ways to
transmit information reliably. In particular\, when information is transm
itted over noisy channels there will inevitably be errors during the trans
mission. We wish to employ methods to detect these errors\, and ultimatel
y\, correct the errors. In fact\, there is a great deal of algebraic geom
etry and number theory that goes into this endeavor. In this talk I will
discuss some work with undergraduate research students showing how to con
struct lattices in number fields from codes\, the theta series associated
to the lattices\, and then some interesting results on those theta series.
\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ila Varma (University of Toronto)
DTSTART;VALUE=DATE-TIME:20240227T200000Z
DTEND;VALUE=DATE-TIME:20240227T210000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/19
DESCRIPTION:Title: Counting number fields and predicting asymptotics\nby
Ila Varma (University of Toronto) as part of The Graduate Center Arithmeti
c Geometry Seminar\n\nLecture held in The Graduate Center.\n\nAbstract\nA
guiding question in number theory\, specifically in arithmetic statistics\
, is: Fix a degree n and a Galois group G in S_n. How does the count of nu
mber fields of degree n whose normal closure has Galois group G grow as th
eir discriminants tend to infinity? In this talk\, we will discuss the his
tory of this question and take a closer look at the story in the case that
n = 4\, i.e. the counts of quartic fields.\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nathan Chen (Columbia University)
DTSTART;VALUE=DATE-TIME:20240305T200000Z
DTEND;VALUE=DATE-TIME:20240305T210000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/20
DESCRIPTION:Title: Low degree maps and points\nby Nathan Chen (Columbia U
niversity) as part of The Graduate Center Arithmetic Geometry Seminar\n\nL
ecture held in The Graduate Center.\n\nAbstract\nTwo powerful tools for st
udying degree d > 1 points on algebraic curves over Q are the Abel-Jacobi
map and Falting's theorem. However\, for higher dimensional varieties ther
e is very little that has been explored. This talk will focus on measures
of irrationality for algebraic surfaces\, which are geometric analogues of
having many degree d points. We will then present some geometric construc
tions that give rise to many degree d points.\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Melissa Emory (Oklahoma State University)
DTSTART;VALUE=DATE-TIME:20240402T190000Z
DTEND;VALUE=DATE-TIME:20240402T200000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/21
DESCRIPTION:Title: On determining Sato-Tate groups\nby Melissa Emory (Okl
ahoma State University) as part of The Graduate Center Arithmetic Geometry
Seminar\n\nLecture held in The Graduate Center.\n\nAbstract\nThe original
Sato-Tate conjecture was posed around 1960 by Mikio Sato and John Tate (i
ndependently) and is a statistical conjecture regarding the distribution o
f the normalized traces of Frobenius on an elliptic curve. In 2012\, the c
onjecture was generalized to higher genus curves by Serre. In recent years
classifications of Sato-Tate groups in dimensions 1\, 2\, and 3 have been
given\, but there are obstacles to providing classifications in higher di
mension. In this talk\, I will describe work to prove nondegeneracy and de
termine Sato-Tate groups for two families of Jacobian varieties. This wor
k is joint with Heidi Goodson.\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wanlin Li (Washington University in St. Louis)
DTSTART;VALUE=DATE-TIME:20240416T190000Z
DTEND;VALUE=DATE-TIME:20240416T200000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/22
DESCRIPTION:Title: The nontriviality of the Ceresa cycle\nby Wanlin Li (W
ashington University in St. Louis) as part of The Graduate Center Arithmet
ic Geometry Seminar\n\nLecture held in The Graduate Center.\n\nAbstract\nT
he Ceresa cycle is an algebraic 1-cycle in the Jacobian of a smooth algebr
aic curve with a chosen base point. It is algebraically trivial for a hype
relliptic curve and non-trivial for a very general complex curve of genus
$\\ge 3$. Given a pointed algebraic curve\, there is no general method to
determine whether the Ceresa cycle associated to it is rationally or algeb
raically trivial. In this talk\, I will discuss some methods and tools to
study this problem.\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Dillery (University of Maryland)
DTSTART;VALUE=DATE-TIME:20240319T190000Z
DTEND;VALUE=DATE-TIME:20240319T200000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/23
DESCRIPTION:Title: Comparing local Langlands correspondences\nby Peter Di
llery (University of Maryland) as part of The Graduate Center Arithmetic G
eometry Seminar\n\nLecture held in The Graduate Center.\n\nAbstract\nBroad
ly speaking\, for G a connected reductive group over a local field F\, the
Langlands program is the endeavor of relating Galois representations (mor
e precisely\, "L-parameters"---certain homomorphisms from the Weil-Deligne
group of F to the dual group of G) to admissible smooth representations o
f G(F). There is conjectured to be a finite-to-one map from irreducible sm
ooth representations of G(F) to L-parameters\, and there are many differen
t approaches to parametrizing the fibers of such a map. \n\nThe goal of th
is talk is to explain some of these approaches\; a special focus will be
placed on the so-called "isocrystal" and "rigid" local Langlands correspon
dences. The former is best suited for building on the recent breakthroughs
of Fargues-Scholze\, while the latter is the broadest and is well-suited
to endoscopy (a version of functoriality). We will discuss a proof of the
equivalence of these two approaches\, initiated by Kaletha for p-adic fiel
ds and extended to arbitrary nonarchimedean local fields in my recent work
.\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Schwein (University of Bonn)
DTSTART;VALUE=DATE-TIME:20240514T190000Z
DTEND;VALUE=DATE-TIME:20240514T200000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/24
DESCRIPTION:Title: Tame supercuspidals at bad primes\nby David Schwein (U
niversity of Bonn) as part of The Graduate Center Arithmetic Geometry Semi
nar\n\nLecture held in The Graduate Center - room 4433.\n\nAbstract\nSuper
cuspidal representations are the elementary particles in the representatio
n theory of reductive p-adic groups and play an important role in number t
heory as local factors of cuspidal automorphic representations. Constructi
ng such representations explicitly\, via (compact) induction\, is a longst
anding open problem which has been solved for large p but not in general.
I'll discuss work in progress joint with Jessica Fintzen towards construct
ing some of these missing supercuspidals when p is (very!) small.\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20240910T190000Z
DTEND;VALUE=DATE-TIME:20240910T200000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/25
DESCRIPTION:by TBA as part of The Graduate Center Arithmetic Geometry Semi
nar\n\nInteractive livestream: https://us02web.zoom.us/j/82176908466?pwd=c
TBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLecture held in The Graduate Center - roo
m 4433.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/25/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20240924T190000Z
DTEND;VALUE=DATE-TIME:20240924T200000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/26
DESCRIPTION:by TBA as part of The Graduate Center Arithmetic Geometry Semi
nar\n\nInteractive livestream: https://us02web.zoom.us/j/82176908466?pwd=c
TBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLecture held in The Graduate Center - roo
m 4433.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/26/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20241008T190000Z
DTEND;VALUE=DATE-TIME:20241008T200000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/28
DESCRIPTION:by TBA as part of The Graduate Center Arithmetic Geometry Semi
nar\n\nInteractive livestream: https://us02web.zoom.us/j/82176908466?pwd=c
TBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLecture held in The Graduate Center - roo
m 4433.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/28/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicole Johnson (Cornell University)
DTSTART;VALUE=DATE-TIME:20241029T190000Z
DTEND;VALUE=DATE-TIME:20241029T200000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/29
DESCRIPTION:by Nicole Johnson (Cornell University) as part of The Graduate
Center Arithmetic Geometry Seminar\n\nInteractive livestream: https://us0
2web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLecture h
eld in The Graduate Center - room 4433.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/29/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20241105T200000Z
DTEND;VALUE=DATE-TIME:20241105T210000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/30
DESCRIPTION:by TBA as part of The Graduate Center Arithmetic Geometry Semi
nar\n\nInteractive livestream: https://us02web.zoom.us/j/82176908466?pwd=c
TBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLecture held in The Graduate Center - roo
m 4433.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/30/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20241119T200000Z
DTEND;VALUE=DATE-TIME:20241119T210000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/31
DESCRIPTION:by TBA as part of The Graduate Center Arithmetic Geometry Semi
nar\n\nInteractive livestream: https://us02web.zoom.us/j/82176908466?pwd=c
TBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLecture held in The Graduate Center - roo
m 4433.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/31/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20241126T200000Z
DTEND;VALUE=DATE-TIME:20241126T210000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/32
DESCRIPTION:by TBA as part of The Graduate Center Arithmetic Geometry Semi
nar\n\nInteractive livestream: https://us02web.zoom.us/j/82176908466?pwd=c
TBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLecture held in The Graduate Center - roo
m 4433.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/32/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asimina Hamakiotes (University of Connecticut)
DTSTART;VALUE=DATE-TIME:20241203T200000Z
DTEND;VALUE=DATE-TIME:20241203T210000Z
DTSTAMP;VALUE=DATE-TIME:20240804T045324Z
UID:gc-arithmetic-geometry/33
DESCRIPTION:by Asimina Hamakiotes (University of Connecticut) as part of T
he Graduate Center Arithmetic Geometry Seminar\n\nInteractive livestream:
https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStHQT09
\nLecture held in The Graduate Center - room 4433.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/33/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
END:VCALENDAR