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SUMMARY:Tobias Berger (The University of Sheffield)
DTSTART;VALUE=DATE-TIME:20240116T200000Z
DTEND;VALUE=DATE-TIME:20240116T210000Z
DTSTAMP;VALUE=DATE-TIME:20240224T055322Z
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:20240224T055322Z
UID:gc-arithmetic-geometry/8
DESCRIPTION:by Dorota Blinkiewicz (University of A. Mickiewicz) as part of
The Graduate Center Arithmetic Geometry Seminar\n\nInteractive livestream
: https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStHQT
09\nLecture held in The Graduate Center.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/8/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
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:20240224T055322Z
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:20240224T055322Z
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:20240224T055322Z
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\nInteractive livestream: https://us02web.zoom.us/j/82
176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLecture held in The Gradua
te 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 number fields of degree n whose normal closure has
Galois group G grow as their discriminants tend to infinity? In this talk
\, we will discuss the history 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/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nathan Chen (Columbia University)
DTSTART;VALUE=DATE-TIME:20240305T200000Z
DTEND;VALUE=DATE-TIME:20240305T210000Z
DTSTAMP;VALUE=DATE-TIME:20240224T055322Z
UID:gc-arithmetic-geometry/20
DESCRIPTION:by Nathan Chen (Columbia University) as part of The Graduate C
enter Arithmetic Geometry Seminar\n\nInteractive livestream: https://us02w
eb.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLecture hel
d in The Graduate Center.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/20/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Melissa Emory (Oklahoma State University)
DTSTART;VALUE=DATE-TIME:20240402T190000Z
DTEND;VALUE=DATE-TIME:20240402T200000Z
DTSTAMP;VALUE=DATE-TIME:20240224T055322Z
UID:gc-arithmetic-geometry/21
DESCRIPTION:by Melissa Emory (Oklahoma State University) as part of The Gr
aduate Center Arithmetic Geometry Seminar\n\nInteractive livestream: https
://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLec
ture held in The Graduate Center.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/21/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
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:20240224T055322Z
UID:gc-arithmetic-geometry/22
DESCRIPTION:by Wanlin Li (Washington University in St. Louis) 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.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/22/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Dillery (University of Maryland)
DTSTART;VALUE=DATE-TIME:20240319T190000Z
DTEND;VALUE=DATE-TIME:20240319T200000Z
DTSTAMP;VALUE=DATE-TIME:20240224T055322Z
UID:gc-arithmetic-geometry/23
DESCRIPTION:by Peter Dillery (University of Maryland) as part of The Gradu
ate Center Arithmetic Geometry Seminar\n\nInteractive livestream: https://
us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStHQT09\nLectur
e held in The Graduate Center.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/gc-arithmetic-geometry/23/
URL:https://us02web.zoom.us/j/82176908466?pwd=cTBiKzR1RXM2SGpMdDdObjBSeStH
QT09
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