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HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Prof Yakov Varshavsky
Coordinator Office Hours:
by appointment
Teaching Staff:
Prof Yakov Varshavsky
Course/Module description:
The goal of the seminar (jointly delivered with Avraham Aizenbud, Dmitry Gourevitch, Eitan Sayag and David Kazhdan)
"Finiteness for Hecke algebras of p-adic groups" 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).
Course/Module aims:
see above
Learning outcomes - On successful completion of this module, students should be able to:
see above
Attendance requirements(%):
100
Teaching arrangement and method of instruction:
see above
Course/Module Content:
see above
Required Reading:
see above
Additional Reading Material:
see above
Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 100 %
to be decided
Additional information:
see above
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