superspecial reductions of CM abelian varieties
Event details
| Date | 16.11.2023 |
| Hour | 14:15 › 16:00 |
| Speaker | Xiaoyu Zhang (Duisburg-Essen) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
The CM points in a Shimura variety contain very important arithmetic information of the whole variety. The famous conjecture of André-Oort says that the Zariski closure of a family of CM points in a Shimura variety is in fact (a translation of) a subvariety of Hodge type. In this talk, we would like to say something about a variant of this conjecture mod a prime: take a p-power isogeny orbit C of a fixed CM abelian variety A, if A has superspecial reduction modulo a prime q, then a certain simultaneous reduction of elements in C (by action of a torus) is in fact surjective onto the set of all superspecial mod q abelian varieties. I will present these results and indicate the ideas of the proofs.
Practical information
- Informed public
- Free
Organizer
- Philippe Michel
Contact
- Laetitia Al-Sulaymaniyin (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)