2nd degree (Master)
Prof Yakov Varshavsky
Coordinator Office Hours:
Dr. Schneidman Ari
"Topics in representation theory of p-adic groups"
Abstract: Bernstein center is a categorical analog of the center of an algebra, and plays a central role in the representation theory of p-adic groups. The goal of my course to cover different classical and more recent topics, related to Bernstein center.
Prerequisites: I will assume very basic theory of representation of p-adic groups. Roughly speaking, I am going to assume the material, covered in the course 80960 "Representation theory of p-adic groups" by Jasmin Matz in the first semester.
1) Classical theory (see Bernstein notes on "Representations of p-adic groups")
2) Classical paper "Trace Paley-Wiener theorem for reductive p-adic groups, by J. Bernstein, P. Deligne and D. Kazhdan
3) More geometric proof of second adjointness ("Geometry of second adjointness for p-adic groups", Roman Bezrukavnikov, David Kazhdan, arXiv:1407.8519)
4) Recent paper "Bernstein components via Bernstein center", by Alexander Braverman, David Kazhdan, Roman Bezrukavnikov, arXiv:1512.08637.
Learning outcomes - On successful completion of this module, students should be able to:
Teaching arrangement and method of instruction:
Additional Reading Material:
End of year written/oral examination 0 %
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Other 100 %