Modular Forms
We will introduce the basic concepts of modular forms and their associated L-functions, and aim at giving applications to either the Iwasawa theory or the Birch-Swinnerton-Dyer conjecture.
讲师
日期
2025年02月24日 至 05月20日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周一,周二 | 16:10 - 17:50 | A3-2-303 | ZOOM 2 | 638 227 8222 | BIMSA |
修课要求
A good background on undergraduate level analysis and algebra courses is enough.
课程大纲
(1) Basis on modular forms;
(2) Eichler-Shimura isomorphisms;
(3) L-functions;
(4) Applications.
(2) Eichler-Shimura isomorphisms;
(3) L-functions;
(4) Applications.
参考资料
[1] Diamond, F. and Shurman, J. A first course in modular forms. Graduate Texts in Mathematics, 228.
[2] Shimura, G. Introduction to the arithmetic theory of automorphic functions. Princeton University Press, Princeton, NJ, 1971.
[2] Shimura, G. Introduction to the arithmetic theory of automorphic functions. Princeton University Press, Princeton, NJ, 1971.
听众
Undergraduate
, Advanced Undergraduate
, Graduate
视频公开
公开
笔记公开
不公开
语言
中文
, 英文
讲师介绍
李永雄在2015年获得中科院数学所博士学位。研究方向包括椭圆曲线的算术、L-函数的特殊值以及Iwasawa 理论。