Automorphic representations and L-functions
The goal is to explain different approaches to the functional equations of automorphic L functions, including the Jacquet-Langlands method and the Godement-Jacquet method and possibly the doubling method and the Braverman-Kazhdan program etc.. We will also explain the necessary backgrounds on the automorphic representations. We will mainly focus on the GL_2 case and try to compare different approaches.
Lecturer
Date
21st September, 2023 ~ 11th January, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Thursday | 15:20 - 17:50 | A3-2a-201 | ZOOM 06 | 537 192 5549 | BIMSA |
Reference
[1]H.Jacquet, R. P.Langlands. Automorphic Forms on GL (2): Part 1 (Vol. 114). Springer,2006.
[2]G.Roger, H.Jacquet.Zeta functions of simple algebras. Vol. 260. Springer, 2006.
[3]D. Goldfeld. Automorphic Forms and L-Functions for the Group GL (n, R).
[4]D. Goldfeld. Automorphic Representations and L-Functions for the General Linear Group. Volume I,II.
[5]S.Gelbart, and I.Piatetski-Shapiro, and S. Rallis. Explicit constructions of automorphic L-functions. Vol. 1254. Springer, 2006.
[6]J.Cogdell. Lectures on L-functions, converse theorems, and functoriality for GLn. Lectures on automorphic L-functions 20 (2004): 1-96.
[7]B. C. Ngô. Hankel transform, Langlands functoriality and functional equation of automorphic L-functions. Japanese Journal of Mathematics, 15, 121-167.
[8]F.Shahidi. Local factors, reciprocity and Vinberg monoids. arXiv preprint arXiv:1710.04285.
[2]G.Roger, H.Jacquet.Zeta functions of simple algebras. Vol. 260. Springer, 2006.
[3]D. Goldfeld. Automorphic Forms and L-Functions for the Group GL (n, R).
[4]D. Goldfeld. Automorphic Representations and L-Functions for the General Linear Group. Volume I,II.
[5]S.Gelbart, and I.Piatetski-Shapiro, and S. Rallis. Explicit constructions of automorphic L-functions. Vol. 1254. Springer, 2006.
[6]J.Cogdell. Lectures on L-functions, converse theorems, and functoriality for GLn. Lectures on automorphic L-functions 20 (2004): 1-96.
[7]B. C. Ngô. Hankel transform, Langlands functoriality and functional equation of automorphic L-functions. Japanese Journal of Mathematics, 15, 121-167.
[8]F.Shahidi. Local factors, reciprocity and Vinberg monoids. arXiv preprint arXiv:1710.04285.
Video Public
No
Notes Public
No
Lecturer Intro
Dr. DENG Taiwang has joined BIMSA in November 2022 as an Assistant Professor. His research interests are in the Langlands program (broadly speaking, the arithmetic, analytic and representation aspects of it). He obtained a Phd in Mathematics from the University of Paris 13. Previously, he has held the postdoctorial positions in Bonn University, the Max Planck Institute of Mathematics in Bonn and Tsinghua University.