BEGIN:VCALENDAR
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PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jackson Morrow (UC Berkeley)
DTSTART:20220914T210000Z
DTEND:20220914T223000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/1/">
 Boundedness of hyperbolic varieties</a>\nby Jackson Morrow (UC Berkeley) a
 s part of UBC (online) Number Theory Seminar\n\n\nAbstract\nLet $C_1$\, $C
 _2$ be smooth projective curves over an algebraically closed field $K$ of 
 characteristic zero. What is the behavior of the set of non-constant maps 
 $C_1 \\to C_2$? Is it infinite\, finite\, or empty? It turns out that the 
 answer to this question is determined by an invariant of curves called the
  genus. In particular\, if $C_2$ has genus $g(C_2)\\geq 2$ (i.e.\, $C_2$ i
 s hyperbolic)\, then there are only finitely many non-constant morphisms $
 C_1 \\to C_2$ where $C_1$ is any curve\, and moreover\, the degree of any 
 map $C_1 \\to C_2$ is bounded linearly in $g(C_1)$ by the Riemann--Hurwitz
  formula. \n\nIn this talk\, I will explain the above story and discuss a 
 higher dimensional generalization of this result. To this end\, I will des
 cribe the conjectures of Demailly and Lang which predict a relationship be
 tween the geometry of varieties\, topological properties of Hom-schemes\, 
 and the behavior of rational points on varieties. To conclude\, I will ske
 tch a proof of a variant of these conjectures\, which roughly says that if
  $X/K$ is a hyperbolic variety\, then for every smooth projective curve $C
 /K$ of genus $g(C)\\geq 0$\, the degree of any map $C\\to X$ is bounded un
 iformly in $g(C)$.\n\nJoin Zoom Meeting\nhttps://ubc.zoom.us/j/67843190638
 ?pwd=eUJsc1oyY2xhYnM4NmU3OW1sTEV2dz09\n\nMeeting ID: 678 4319 0638\nPassco
 de: 999070\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zheng Liu (UC Santa Barbara)
DTSTART:20220921T210000Z
DTEND:20220921T223000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/2/">
 p-adic L-functions for GSp(4)\\times GL(2)</a>\nby Zheng Liu (UC Santa Bar
 bara) as part of UBC (online) Number Theory Seminar\n\n\nAbstract\nFor a c
 uspidal automorphic representation $\\Pi$ of GSp(4) and a cuspidal automor
 phic representation $\\pi$ of GL(2)\, Furusawa's formula can be used to st
 udy the special values of the degree-eight $p$-adic $L$-function $L(s\,\\P
 i\\times\\pi)$. In this talk\, I will explain a construction of the $p$-ad
 ic $L$-function for $\\Pi\\times\\pi$ by using Furusawa's formula and a fa
 mily of Eisenstein series. The construction includes choosing local test s
 ections at p and computing the corresponding local zeta integrals.\n\nJoin
  Zoom Meeting\nhttps://ubc.zoom.us/j/67843190638?pwd=eUJsc1oyY2xhYnM4NmU3O
 W1sTEV2dz09\n\nMeeting ID: 678 4319 0638\nPasscode: 999070\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Granville (Universite de Montreal)
DTSTART:20220928T200000Z
DTEND:20220928T210000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/3/">
 $K$-rational points on curves</a>\nby Andrew Granville (Universite de Mont
 real) as part of UBC (online) Number Theory Seminar\n\n\nAbstract\nMazur a
 nd Rubin's ``Diophantine stability'' program suggests asking\, for a given
  curve $C$\, over what fields $K$  does $C$ have rational points\, or at l
 east to study the degrees of such $K$. We study this question for planar c
 urves $C$ from various perspectives and relate solvability to the shape of
  $C$'s Newton polygon (the real original one that Newton worked with\, not
  a $p$-adic one which are  frequently used in arithmetic geometry research
 ). This is joint work with Lea Beneish\n\nZoom link:\nhttps://ubc.zoom.us/
 j/67843190638?pwd=eUJsc1oyY2xhYnM4NmU3OW1sTEV2dz09\n\nMeeting ID: 678 4319
  0638\nPasscode: 999070\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Melissa Emory (Oklahoma State University)
DTSTART:20221005T210000Z
DTEND:20221005T223000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/4/">
 Sato-Tate groups in higher dimensions</a>\nby Melissa Emory (Oklahoma Stat
 e University) as part of UBC (online) Number Theory Seminar\n\n\nAbstract\
 nGiven an abelian variety over a number field\, its Sato-Tate group is a c
 ompact Lie group\, and it is conjectured to control the distribution of Eu
 ler factors of the L-function of the abelian variety. In this talk we will
  begin with a discussion on the Sato-Tate conjecture for elliptic curves a
 nd discuss work that computes the Sato-Tate groups of families of hyperell
 iptic curves of arbitrarily high genus and discuss some open problems in t
 his area. This work is joint with H. Goodson and A. Peyrot.\n\nJoin Zoom M
 eeting\nhttps://ubc.zoom.us/j/67843190638?pwd=eUJsc1oyY2xhYnM4NmU3OW1sTEV2
 dz09\n\nMeeting ID: 678 4319 0638\nPasscode: 999070\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wanlin Li (Washington University\, St. Louis)
DTSTART:20221012T210000Z
DTEND:20221012T223000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/5/">
 A generalization of Elkies' theorem</a>\nby Wanlin Li (Washington Universi
 ty\, St. Louis) as part of UBC (online) Number Theory Seminar\n\n\nAbstrac
 t\nElkies proved that for a fixed elliptic curve E defined over Q\, there 
 exist infinitely many primes at which the reductions of E are supersingula
 r. In this talk\, we give the first generalization of Elkies' theorem to c
 urves of genus >2. We consider families of cyclic covers of the projective
  line ramified at 4 points parametrized by a Shimura curve. This is joint 
 work in progress with Elena Mantovan\, Rachel Pries\, and Yunqing Tang.\n\
 nZoom link:\nhttps://ubc.zoom.us/j/67936242498?pwd=ZDZOdzZTcDBpZ3d4c1YvSUc
 5M1Z0QT09\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusheng Lee (Columbia University)
DTSTART:20221026T210000Z
DTEND:20221026T223000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/6/">
 Arithmetic of theta liftings</a>\nby Yusheng Lee (Columbia University) as 
 part of UBC (online) Number Theory Seminar\n\n\nAbstract\nWe discuss the i
 ntegrality of theta liftings of anti-cyclotomic characters to a definite u
 nitary group $\\mathrm{U}(2)$ of two variables. This will allow us to cons
 truct a Hida family of the theta liftings and relate the congruence module
  of which to an anti-cyclotomic $p$-adic L-function. The result is an inpu
 t to Urban's construction of Euler systems.\n\nJoin Zoom Meeting\nhttps://
 ubc.zoom.us/j/67843190638?pwd=eUJsc1oyY2xhYnM4NmU3OW1sTEV2dz09\n\nMeeting 
 ID: 678 4319 0638\nPasscode: 999070\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simone Malettos (UBC Vancouver)
DTSTART:20221102T210000Z
DTEND:20221102T223000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/7
DESCRIPTION:by Simone Malettos (UBC Vancouver) as part of UBC (online) Num
 ber Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joshua Males (University of Manitoba/ PIMS)
DTSTART:20221116T220000Z
DTEND:20221116T233000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/8/">
 Asymptotics of combinatorial and topological objects via modular forms</a>
 \nby Joshua Males (University of Manitoba/ PIMS) as part of UBC (online) N
 umber Theory Seminar\n\n\nAbstract\nThe use of modular forms in describing
  the asymptotic behaviour of interesting objects goes back to the inventio
 n of the Circle Method by Hardy and Ramanujan over 100 years ago. In this 
 talk\, I'll describe several results in how we can use modular forms and t
 heir relations to study newer objects\; in particular the distribution ove
 r arithmetic progressions and bias in arithmetic progressions of certain c
 ombinatorial and topological objects. Finally\, I'll talk briefly about so
 me ongoing work that describes the asymptotic behaviour of a Nahm-type sum
  which displays much more intricate behaviour than classical modular objec
 ts.\n\nParts of this talk will be based on works with various combinations
  of Kathrin Bringmann\, Giulia Cesana\, Will Craig\, Amanda Folsom\, Ken O
 no\, Larry Rolen\, and Matthias Storzer.\n\nMeeting ID: 678 4319 0638\nPas
 scode: 999070\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Payman Eskandari (University of Winnipeg)
DTSTART:20221207T220000Z
DTEND:20221207T233000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/9
DESCRIPTION:by Payman Eskandari (University of Winnipeg) as part of UBC (o
 nline) Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Manami Roy (Fordham University)
DTSTART:20221019T210000Z
DTEND:20221019T223000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/10/"
 >Dimensions of spaces of Siegel cusp forms of degree 2</a>\nby Manami Roy 
 (Fordham University) as part of UBC (online) Number Theory Seminar\n\n\nAb
 stract\nComputing dimension formulas for the spaces of Siegel modular form
 s of degree 2 is of great interest to many mathematicians. We will start b
 y discussing known results and methods in this context. The dimensions of 
 the spaces of Siegel cusp forms of non-squarefree levels are mostly unavai
 lable in the literature. This talk will present new dimension formulas of 
 Siegel cusp forms of degree 2\, weight k\, and level 4 for three congruenc
 e subgroups. Our method relies on counting a particular set of cuspidal au
 tomorphic representations of GSp(4) and exploring its connection to dimens
 ions of spaces of Siegel cusp forms of degree 2. This is recent work (arXi
 v:2207.02747) with Ralf Schmidt and Shaoyun Yi.\n\nMeeting ID: 678 4319 06
 38\nPasscode: 999070\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Schneider (University of Münster)
DTSTART:20221123T220000Z
DTEND:20221123T233000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/11
DESCRIPTION:by Peter Schneider (University of Münster) as part of UBC (on
 line) Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yifeng Huang (UBC Vancouver)
DTSTART:20221130T220000Z
DTEND:20221130T233000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/12/"
 >Unit equations on quaternions</a>\nby Yifeng Huang (UBC Vancouver) as par
 t of UBC (online) Number Theory Seminar\n\n\nAbstract\nA classical theorem
  in number theory states that for any finitely generated subgroup $\\Gamma
 $ of $\\mathbb{C}*$\, the "unit equation” $x+y=1$ has only finitely many
  solutions with $x\,y\\in \\Gamma$. One can view it as a statement that re
 lates addition and multiplication of complex numbers in a fundamental way.
  Our main result (arXiv: 1910.13250) is an analog of this theorem on quate
 rnions\, where the multiplication is no longer commutative. We then explai
 n its connection to iterations of self-maps on abelian varieties\, and giv
 e a result about an orbit intersection problem as an application. The appr
 oach to our main result is based on the analysis of the Euclidean norm on 
 quaternions\, and Baker’s estimate of linear combinations of logarithms.
  Time permitting\, I will sketch a proof focusing on how the difficulties 
 caused by noncommutativity are miraculously addressed in our case.\n\nJoin
  Zoom Meeting\nhttps://ubc.zoom.us/j/67843190638?pwd=eUJsc1oyY2xhYnM4NmU3O
 W1sTEV2dz09\n\nMeeting ID: 678 4319 0638\nPasscode: 999070\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Greg Knapp (University of Oregon)
DTSTART:20221214T220000Z
DTEND:20221214T233000Z
DTSTAMP:20260422T225925Z
UID:UBC_NTS/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC_NTS/13/"
 >Bounds on the Number of Solutions to Thue’s Inequality</a>\nby Greg Kna
 pp (University of Oregon) as part of UBC (online) Number Theory Seminar\n\
 n\nAbstract\nIn 1909\, Thue proved that when $F(x\,y) \\in \\mathbb{Z}[x\,
 y]$ is irreducible\, homogeneous\, and has degree at least 3\, the inequal
 ity $|F(x\,y)| \\leq h$ has finitely many integer-pair solutions for any p
 ositive $h$.  Because of this result\, the inequality $|F(x\,y)| \\leq h$ 
 is known as Thue’s Inequality and much work has been done to find sharp 
 bounds on the number of integer-pair solutions to Thue’s Inequality.  In
  this talk\, I will describe different techniques used by Baker\; Mueller 
 and Schmidt\; Saradha and Sharma\; Thomas\; and Akhtari and Bengoechea to 
 make progress on this general problem.  After that\, I will discuss some i
 mprovements that can be made to a counting technique used in association w
 ith ``the gap principle’’ and how those improvements lead to better bo
 unds on the number of solutions to Thue’s Inequality.\n\nJoin Zoom Meeti
 ng\nhttps://ubc.zoom.us/j/67843190638?pwd=eUJsc1oyY2xhYnM4NmU3OW1sTEV2dz09
 \n\nMeeting ID: 678 4319 0638\nPasscode: 999070\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/13/
END:VEVENT
END:VCALENDAR