Kloosterman sums and Siegel zeros
Event details
| Date | 10.04.2018 |
| Hour | 13:45 › 14:45 |
| Speaker | James Maynard (University of Oxford) |
| Location | |
| Category | Conferences - Seminars |
Kloosterman sums arise naturally in the study of the distribution of various arithmetic objects in analytic number theory. The 'vertical' Sato-Tate law of Katz describes their distribution over a fixed field F_p, but the equivalent 'horizontal' distribution as the base field varies over primes remains open. We describe work showing cancellation in the sum over primes if there are exceptional Siegel-Landau zeros. This is joint work with Sary Drappeau, relying on a fun blend of ideas from algebraic geometry, the spectral theory of automorphic forms and sieve theory.
Practical information
- Informed public
- Free
Organizer
- Philippe Michel