Graduate School of Mathematics, Nagoya University
ADDRESS: Furocho, Chikusaku, Nagoya, Japan / POSTAL CODE: 464-8602

Research - Supersingular Abelian Varieties and Related Arithmetic

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Update: 2019/09/08

Research

Supersingular Abelian Varieties and Related Arithmetic

Period
September 30–October 4, 2019
Venue
1F Seminar Room, Science South Bldg., Nagoya University
Speakers
Jeff Achter (Colorado State University),
Shushi Harashita (Yokohama National University),
Pol van Hoften (King's College London),
Tomoyoshi Ibukiyama (Osaka University),
Valentijn Karemaker (Utrecht University & Stockholm University),
Toshiyuki Katsura (University of Tokyo),
Momonari Kudo (Kobe City College of Technology & Kyushu University),
Yasuhiro Oki (University of Tokyo),
Rachel Pries (Colorado State University),
Christophe Ritzenthaler (Université de Rennes 1),
Ken-ichi Sugiyama (Rikkyo University),
Jiangwei Xue (Wuhan University),
Chia-Fu Yu (Academia Sinica)
(* to be confirmed.)
Organizers
Tomoyoshi Ibukiyama (Osaka University),
Toshiyuki Katsura (Hosei University),
Shigeyuki Kondo (Nagoya University)
Sponsored by
JSPS Grant-in-Aid for Scientific Research (B) 15H03614 (Toshiyuki Katsura),
JSPS Grant-in-Aid for Scientific Research (S) 15H05738 (Shigeyuki Kondo),
The program for promoting the enhancement of research universities.
Contact to
Tomoyoshi Ibukiyama ()

Program

September 30 (Mon)
09:50–10:00 Opening
10:00–11:00

Tomoyoshi Ibukiyama (Osaka University)

A survey on quaternion hermitian lattices and algebraic modular forms

11:20–12:20

Chia-Fu Yu (Academia Sinica)

A survey on Dieudonné modules and an arithmetic application

Lunch Break
13:50–14:50

Toshiyuki Katsura (University of Tokyo)

On the supersingular locus of the muduli space of principally polarized abelian varieties in positive characteristic

15:10–16:10

Tomoyoshi Ibukiyama (Osaka University)

A survey on polarizations of superspecial abelian varieties and the field of definition

16:30–17:30

Jiangwei Xue (Wuhan University)

A survey on quaternion orders and selectivity

18:00– Reception at Restaurant “Hananoki”
October 1 (Tue)
10:00–11:00

Valentijn Karemaker (Utrecht University & Stockholm University)

Arithmetic of twists of supersingular abelian varieties

11:30–12:30

Jiangwei Xue (Wuhan University)

On counting certain principally polarized superspecial abelian surfaces over $\mathbb{F}_{p}$

Lunch Break
14:00–15:00

Rachel Pries (Colorado State University)

Curves of high genus with many slopes of 1/2

15:30–16:30

Yasuhiro Oki (University of Tokyo)

On certain moduli spaces of polarized supersingular QM abelian 4-folds

October 2 (Wed)
10:00–11:00

Pol van Hoften (King's College London)

A geometric Jacquet–Langlands correspondence for paramodular Siegel threefolds

11:30–12:30

Jeff Achter (Colorado State University)

Arithmetic occult periods

Afternoon Private Discussion
October 3 (Thu)
10:00–11:00

Christophe Ritzenthaler (Université de Rennes 1)

Reduction of curves and abelian varieties

11:30–12:30

Ken-ichi Sugiyama (Rikkyo University)

On a generalization of Deuring’s results

Lunch Break
14:00–15:00

Momonari Kudo (Kobe City College of Technology & Kyushu University)

Computational approaches to superspecial curves of genera 4 and 5 over finite fields

15:30–16:30

Shushi Harashita (Yokohama National University)

The existence of supersingular curves of genus 4 in arbitrary characteristic

October 4 (Fri)
10:00–11:00

Tomoyoshi Ibukiyama (Osaka University)

Supersingular abelian surfaces, automorphisms, and the trace formulas

11:30–12:30

Chia-Fu Yu (Academia Sinica)

Mass formula for principally polarized supersingular abelian 3-folds

Abstracts