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.
讲师
日期
2023年09月21日 至 2024年01月11日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周四 | 15:20 - 17:50 | A3-2a-201 | ZOOM 06 | 537 192 5549 | BIMSA |
参考资料
[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.
视频公开
不公开
笔记公开
不公开
讲师介绍
邓太旺博士于2022年11月加入BIMSA，担任助理研究员。他的研究兴趣是朗兰兹纲领（广义上说，是朗兰兹纲领的算术、分析和表示方面）。他在巴黎十三大学获得了数学博士学位。此前，他曾在波恩大学、马克斯•普朗克数学研究所和清华大学担任博士后。