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PRODID:researchseminars.org
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BEGIN:VEVENT
SUMMARY:Jackson Morrow (UC Berkeley)
DTSTART;VALUE=DATE-TIME:20220914T210000Z
DTEND;VALUE=DATE-TIME:20220914T223000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
UID:UBC_NTS/1
DESCRIPTION:Title:
Boundedness of hyperbolic varieties\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;VALUE=DATE-TIME:20220921T210000Z
DTEND;VALUE=DATE-TIME:20220921T223000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
UID:UBC_NTS/2
DESCRIPTION:Title:
p-adic L-functions for GSp(4)\\times GL(2)\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;VALUE=DATE-TIME:20220928T200000Z
DTEND;VALUE=DATE-TIME:20220928T210000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
UID:UBC_NTS/3
DESCRIPTION:by Andrew Granville (Universite de Montreal) as part of UBC (o
nline) Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Melissa Emory (Oklahoma State University)
DTSTART;VALUE=DATE-TIME:20221005T210000Z
DTEND;VALUE=DATE-TIME:20221005T223000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
UID:UBC_NTS/4
DESCRIPTION:by Melissa Emory (Oklahoma State University) as part of UBC (o
nline) Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wanlin Li (Washington University\, St. Louis)
DTSTART;VALUE=DATE-TIME:20221012T210000Z
DTEND;VALUE=DATE-TIME:20221012T223000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
UID:UBC_NTS/5
DESCRIPTION:by Wanlin Li (Washington University\, St. Louis) as part of UB
C (online) Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusheng Lee (Columbia University)
DTSTART;VALUE=DATE-TIME:20221026T210000Z
DTEND;VALUE=DATE-TIME:20221026T223000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
UID:UBC_NTS/6
DESCRIPTION:by Yusheng Lee (Columbia University) as part of UBC (online) N
umber Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simone Malettos (UBC Vancouver)
DTSTART;VALUE=DATE-TIME:20221102T210000Z
DTEND;VALUE=DATE-TIME:20221102T223000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
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;VALUE=DATE-TIME:20221116T220000Z
DTEND;VALUE=DATE-TIME:20221116T233000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
UID:UBC_NTS/8
DESCRIPTION:by Joshua Males (University of Manitoba/ PIMS) as part of UBC
(online) Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Payman Eskandari (University of Winnipeg)
DTSTART;VALUE=DATE-TIME:20221207T220000Z
DTEND;VALUE=DATE-TIME:20221207T233000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
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;VALUE=DATE-TIME:20221019T210000Z
DTEND;VALUE=DATE-TIME:20221019T223000Z
DTSTAMP;VALUE=DATE-TIME:20220927T042526Z
UID:UBC_NTS/10
DESCRIPTION:by Manami Roy (Fordham University) as part of UBC (online) Num
ber Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/UBC_NTS/10/
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