|
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 (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
|
|
Past Conferences and Workshops 
![[DOWNLOAD]](/en/img/download_x2.jpg){kind=small}