Braverman-Kazhdan conjecture for finite fields
ALGEBRAIC GEOMETRY AND NUMBER THEORY SEMINAR
Date
Thursday, June 30, 2022 13:00 - 15:00
Speaker
Emmanuel Letellier (Université de Paris)
Location
Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tamas Hausel
Contact
Let G be a connected reductive group G over a finite field with dual group G*, and consider a morphism r from G* to GL(n). From the standard Fourier transform on GL(n) and the morphism r, Braverman and Kazhdan defined an exotic Fourier operator on the space of functions on G(q) using Langlands functoriality. They also gave a conjectural formula for its kernel. In this talk we will give a proof of their conjecture. This is joint work with Grard Laumon.