This is Kazhdan Sunday seminar, which will be run by Abraham Aizenbud, Dmitry Gurevich, Eitan Sayag and Yakov Varshavsky and appears as 80853 in shnaton.

The website for the seminar is 

https://moodle2.cs.huji.ac.il/nu22/course/view.php?id=80853


(supposed to be open to everyone) and all the information (including zoom links, slides and recordings) will be placed there. 

The zoom link is 

https://huji.zoom.us/j/82677114374?pwd=RnZUS3EvODBYYVNHaitvZi9iRzBVdz09


Link for the recordings is 


https://huji.cloud.panopto.eu/Panopto/Pages/Sessions/List.aspx#folderID=%22bf8daa94-3be0-4016-87da-af090084b336%22


----------------------------------------------------------------------------------------------------------------

Abstract: The goal of this seminar is to describe a recent paper 
``Finiteness for Hecke algebras of p-adic groups'' 
https://arxiv.org/abs/2203.04929 by Jean-Francois Dat, David Helm, 
Robert Kurinczuk, Gilbert Moss.

Let G be a reductive group over a non-Archimedean local field F of
residue characteristic p. The main goal is to prove that the Hecke
algebras of G(F) with coefficients in a Z_l-algebra R for l not equal
to p are finitely generated modules over their centers, and that these
centers are finitely generated R-algebras. Following Bernstein's
original strategy, we will then deduce that "second adjointness" holds
for smooth representations of G(F) with coefficients in any ring R in
which p is invertible. These results had been conjectured for a long
time. The crucial new tool that unlocks the problem is the
Fargues-Scholze morphism between a certain ``excursion algebra"
defined on the Langlands parameters side and the Bernstein center of
G(F).

-----------------------------------------------------------------------------------------------------------------

Lecture 1 (23/10/22) Rami Eisenbud "Overview"

Lecture 2 (30/10/22) Eitan Sayag "Bernstein Theory: complex case, I" 

Lecture 3 (06/11/22) Eitan Sayag "Bernstein Theory: complex case, II" 

Lecture 4 (13/11/22) Eitan Sayag "Bernstein Theory: complex case, III" 

Lecture 5 (20/11/22) Dima Gurevich "Second adjointness, I"

Lecture 6 (27/11/22) Dima Gurevich "Second adjointness, II" 


Lecture 7 (04/12/22) Yakov Varshavsky "Moduli of Langlands parameters, and excursion algebra" 

Lecture 8 (18/12/22) Rami Eisenbud "Finiteness on the Galois side"  

Lecture 9 (1/1/23)  Yakov Varshavsky  "Moduli of Langlands parameters, and excursion algebra, II"

 Lecture 10 (8/1/23)   Yakov Varshavsky "Construction of Fargues-Scholze"


 Lecture 11 (29/1/23)   Rami Eisenbud "Summary"