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

Research - Past Conferences and Workshops - 2019 AY - Supersingular Abelian Varieties and Related Arithmetic

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Update: 2024/11/29

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