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HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Prof Yakov Varshavsky
Coordinator Office Hours:
By appointment
Teaching Staff:
Dr. Schneidman Ari
Course/Module description:
"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.
Tentative topics:
1) Classical theory (see Bernstein notes on "Representations of p-adic groups")
http://www.math.tau.ac.il/~bernstei/Publication_list/publication_texts/Bernst_Lecture_p-adic_repr.pdf
2) Classical paper "Trace Paley-Wiener theorem for reductive p-adic groups, by J. Bernstein, P. Deligne and D. Kazhdan
https://publications.ias.edu/sites/default/files/Number55.pdf
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.
Course/Module aims:
Learning outcomes - On successful completion of this module, students should be able to:
None
Attendance requirements(%):
0
Teaching arrangement and method of instruction:
Lecture
Course/Module Content:
None
Required Reading:
None
Additional Reading Material:
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 %
TBA
Additional information:
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