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SUMMARY:Ben Kane (University of Hong Kong)
DTSTART;VALUE=DATE-TIME:20211008T080000Z
DTEND;VALUE=DATE-TIME:20211008T090000Z
DTSTAMP;VALUE=DATE-TIME:20211209T070722Z
UID:SNUNT/1
DESCRIPTION:Title: Mo
ments of class numbers and distributions of traces of Frobenius in arithme
tic progressions\nby Ben Kane (University of Hong Kong) as part of SNU
Number Theory Seminar\n\n\nAbstract\nIn this talk\, we will show how to u
se techniques from the theory of non-holomorphic modular forms to study mo
ments of Hurwitz class numbers (of binary quadratic forms) with an applica
tion to studying the distribution of normalized trace of Frobenius on elli
ptic curves when the trace is restricted to a fixed arithmetic progression
. This is joint work with Kathrin Bringmann and Sudhir Pujahari.\n
LOCATION:https://researchseminars.org/talk/SNUNT/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ananth Shankar (University of Wisconsin\, Madison)
DTSTART;VALUE=DATE-TIME:20211015T013000Z
DTEND;VALUE=DATE-TIME:20211015T023000Z
DTSTAMP;VALUE=DATE-TIME:20211209T070722Z
UID:SNUNT/2
DESCRIPTION:Title: Ca
nonical heights on Shimura varieties and the Andre-Oort conjecture\nby
Ananth Shankar (University of Wisconsin\, Madison) as part of SNU Number
Theory Seminar\n\n\nAbstract\nLet S be a Shimura variety. The Andre-Oort c
onjecture posits that the Zariski closure of special points must be a sub
Shimura subvariety of S. The Andre-Oort conjecture for A_g (the moduli spa
ce of principally polarized Abelian varieties) — and therefore its sub S
himura varieties — was proved by Jacob Tsimerman. \nHowever\, this conje
cture was unknown for Shimura varieties without a moduli interpretation. I
will describe joint work with Jonathan Pila and Jacob Tsimerman where we
prove the Andre Oort conjecture in full generality.\n
LOCATION:https://researchseminars.org/talk/SNUNT/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jaesung Kwon (UNIST)
DTSTART;VALUE=DATE-TIME:20211105T070000Z
DTEND;VALUE=DATE-TIME:20211105T080000Z
DTSTAMP;VALUE=DATE-TIME:20211209T070722Z
UID:SNUNT/3
DESCRIPTION:Title: Bi
anchi modular symbols and p-adic L-functions\nby Jaesung Kwon (UNIST)
as part of SNU Number Theory Seminar\n\n\nAbstract\nIn this talk\, we will
discuss the integral L-values and p-adic L-functions of Bianchi modular f
orms. Also I will give the brief proof of the generation of the first homo
logy groups by Bianchi modular symbols. From this\, we obtain the result t
oward mu=0 conjecture.\n
LOCATION:https://researchseminars.org/talk/SNUNT/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chol Park (UNIST)
DTSTART;VALUE=DATE-TIME:20211112T070000Z
DTEND;VALUE=DATE-TIME:20211112T080000Z
DTSTAMP;VALUE=DATE-TIME:20211209T070722Z
UID:SNUNT/4
DESCRIPTION:Title: Mo
duli of Fontaine-Laffailles and mod-p local-global compatibility\nby C
hol Park (UNIST) as part of SNU Number Theory Seminar\n\n\nAbstract\nPleas
e see: https://sites.google.com/view/snunt/seminars\n
LOCATION:https://researchseminars.org/talk/SNUNT/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Abhishek Oswal (Caltech)
DTSTART;VALUE=DATE-TIME:20211203T013000Z
DTEND;VALUE=DATE-TIME:20211203T023000Z
DTSTAMP;VALUE=DATE-TIME:20211209T070722Z
UID:SNUNT/5
DESCRIPTION:Title: Al
gebraization theorems in complex and non-archimedean geometry\nby Abhi
shek Oswal (Caltech) as part of SNU Number Theory Seminar\n\n\nAbstract\nA
lgebraization theorems originating from o-minimality have found striking a
pplications in recent years to Hodge theory and Diophantine geometry. The
utility of o-minimality originates from the 'tame' topological properties
that sets definable in such structures satisfy. O-minimal geometry thus pr
ovides a way to interpolate between the algebraic and analytic worlds. One
such algebraization theorem that has been particularly useful is the defi
nable Chow theorem of Peterzil and Starchenko which states that a closed a
nalytic subset of a complex algebraic variety that is simultaneously defin
able in an o-minimal structure is an algebraic subset. In this talk\, I sh
all discuss a non-archimedean version of this result and some recent appli
cations of these algebraization theorems.\n
LOCATION:https://researchseminars.org/talk/SNUNT/5/
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