
ADDRESS: Furocho, Chikusaku, Nagoya, Japan / POSTAL CODE: 464-8602

Research Supersingular Abelian Varieties and Related Arithmetic

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 (ibukiyam (at) math.sci.osaka-u.ac.jp)

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

Program and Abstracts [PDF/58KB]