The second moment of twisted L-functions
Event details
| Date | 08.10.2015 |
| Hour | 14:15 › 15:15 |
| Speaker | Philippe Michel - EPFL |
| Location | |
| Category | Conferences - Seminars |
We present a solution of the longstanding problem of evaluating with power saving error term the second moment of central value of a Hecke L-function
twisted by characters of large prime conductor and discuss its applications to non-vanishing.
The proof combines the theory of automorphic forms with bounds for bilinear sums of algebraic exponentials sums (Kloosterman sums)
when the summations variables are below the Polya–Vinogradov range and ultimately, bounds for multivariable sums of products of Kloosterman involving advanced tools
from l-adic cohomology (determination of monodromy groups, vanishing cycles computations, Deligne’s semicontinuity theorem…).
This is a collection of joint works with V. Blomer, E. Fouvry, E. Kowalski, D. Milicevic and W. Sawin.
twisted by characters of large prime conductor and discuss its applications to non-vanishing.
The proof combines the theory of automorphic forms with bounds for bilinear sums of algebraic exponentials sums (Kloosterman sums)
when the summations variables are below the Polya–Vinogradov range and ultimately, bounds for multivariable sums of products of Kloosterman involving advanced tools
from l-adic cohomology (determination of monodromy groups, vanishing cycles computations, Deligne’s semicontinuity theorem…).
This is a collection of joint works with V. Blomer, E. Fouvry, E. Kowalski, D. Milicevic and W. Sawin.
Practical information
- Informed public
- Free
Organizer
- TAN
Contact
- Monique Kiener