Equidistribution of exponential sums on abelian varieties
Event details
| Date | 14.10.2021 |
| Hour | 13:15 › 15:00 |
| Speaker | Arthur Forey (EPFL) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Many exponential sums over finite fields, such as Gauss or
Salié-Kloosterman sums, appear as the Fourier-Melin transform of the
trace function of an l-adic sheaf on a commutative algebraic group. We are interested in the equidistribution of such sums as the character varies. Generalizing work by Deligne and Katz in the cases of additive and multiplicative groups, a Tannakian formalism always controls the
equidistribution. In this talk, I will illustrate this result in some concrete cases where the group is an abelian variety. This is a collaboration with Javier Fresán and Emmanuel
Kowalski.
Practical information
- Informed public
- Free
Organizer
- Philippe Michel
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)