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:
Mathematics and CS Seminar
Host:
Tamas Hausel
Contact:
OOSTHUIZEN-NOCZIL Birgit
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.