| Language |
English
|
| From |
2009/12/04 15:00
|
| To |
2009/12/04 16:00
|
| Place | Room 152, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | 数論合同セミナー |
| Title |
Liftability of mod p cusp forms of regular weights |
| Field |
Algebra
|
| Speakers | Kai-Wen Lan |
| Affiliation | Princeton University / Institute for Advanced Study |
| Abstract | We shall present a vanishing theorem for automorphic line bundles on good reduction fibers of PEL-type Shimura varieties (including non-compact ones). As a byproduct, we deduce that for a good prime p larger than the dimension of a PEL-type Shimura variety, any mod p cusp form of regular weight is liftable to characteristic zero. (This is joint work with Junecue Suh.) |
| Note | *GCOE との共催です。 |
|