Time: 2:30 pm - 4:00 pm on Mondays
Location: 622 Mathematics
Lunch: Meet at 11:30 am in the Mathematics Building Lobby
This semester Chao Li, Yihang Zhu and I are organizing a learning seminar on beyond endoscopy. The seminar abstract is as follows:
We will start with the classical analytic theory of L-functions given by Tate's thesis and Godement–Jacquet theory. Then we will survey the ideas of Braverman, Kazhdan, Ngô, et al. to generalize these theories to reductive groups, and the relation between these ideas and Langlands' ideas about beyond-endoscopy. We will then study the recent paper of Bouthier–Ngô–Sakellaridis that applies ideas from algebraic geometry to approach this problem.
Please email me if you would like to join the mailing list for this seminar.
The schedule is tentative and subject to change as the seminar moves along.
|Lecture 1||February 5||Sam Mundy||Tate's thesis, I|
|Lecture 2||February 12||Sam Mundy||Tate's thesis, II|
|Lecture 3||February 19||Sam Mundy||Godement–Jacquet theory: global aspects||[GH]|
|Lecture 4||February 26||Hervé Jacquet||Godement–Jacquet theory: local aspects|
|No talk||March 5||Canceled due to Arizona Winter School|
|No talk||March 12||Spring Recess|
|Lecture 5||March 19||Hervé Jacquet||Rankin–Selberg theory according to L. Lafforgue|
|Lecture 6||March 26||Yihang Zhu||Braverman–Kazhdan theory for reductive groups, I||[BK], [N]|
|Lecture 7||April 2||Yihang Zhu||Braverman–Kazhdan theory for reductive groups, II||[BK], [N]|
|Lecture 8||April 9||Chao Li||Bouthier–Ngô–Sakellaridis theory, I||[BNS]|
|Lecture 9||April 16||Chao Li||Bouthier–Ngô–Sakellaridis theory, II||[BNS]|
|Lecture 10||April 23||Dan Gulotta||Hankel transform via rho-Bessel functions||[N, §6]|
|Lecture 11||April 30|
|Lecture 12||May 7|
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