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.
Lecturer
Date
24th February ~ 20th May, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Monday,Tuesday | 16:10 - 17:50 | A3-2-303 | ZOOM 2 | 638 227 8222 | BIMSA |
Prerequisite
A good background on undergraduate level analysis and algebra courses is enough.
Syllabus
(1) Basis on modular forms;
(2) Eichler-Shimura isomorphisms;
(3) L-functions;
(4) Applications.
(2) Eichler-Shimura isomorphisms;
(3) L-functions;
(4) Applications.
Reference
[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.
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
Video Public
Yes
Notes Public
No
Language
Chinese
, English
Lecturer Intro
Li Yongxiong is currently an Associate Professor at BIMSA. He was previously an Assistant Professor at Tsinghua University. His research focuses on number theory.