Kleine AG: Serre-Tate local moduli
Kleine AG: Serre-Tate Local Moduli
It is now some sixty years since Serre-Tate discovered that over a ring in which a prime number p is nilpotent, the infinitesimal deformation theory of abelian varieties is completely controlled by, and is indeed equivalent to, the infinitesimal deformation theory of their p-divisible groups. Our goal in this Kleine AG is to understand Drinfel’d’s simplification of the original proof (as presented by Katz) and describe the moduli deformation functor of ordinary abelian varieties over a finite field.
The Kleine AG will take place on the 5th of October in the mathematical department of the University of Duisburg-Essen, Thea-Leymann-Straße 9
45127 Essen, on room N-U-3.05, which means on the third floor on the north side of the building. Here are some directions to get here from the main station.
The plan is to start at 10.30 (with a certain flexibility for DB delays).
If you plan on attending, I'd ask for you to please fill this form out so I can have an idea of how many will come. If you want your train tickets reimbursed, please send me an email so I can send you the relevant form.
The more detailed version of the program is here. And below is a table of the talks.
| Talk | Speaker | |
| Talk 1 | Deformation Theory (30 min.) | |
| Talk 2 | p-divisible and formal groups (60 min.) | Abhijit Aryampilly Jayanthan |
| Talk 3 | The proof of the Main Theorem (45 min.) | Paul Siemon |
| Talk 4 | Serre-Tate local moduli (60 min.) | Guillermo Gamarra Segovia |
| Talk 5 | The fundamental compatibility (60 min.) | Giulio Marazza |