Cyclotomic Fields and Zeta Values
This course provides an accessible introduction to Iwasawa theory, primarily based on the textbook Cyclotomic Fields and Zeta Values by J. Coates and R. Sujatha. We will present the simplest proof of the "main conjecture" for cyclotomic fields, illustrating the profound link between the special values of zeta and L-functions and purely arithmetic expressions. If time permits, we will introduce more examples concerning "main conjectures".
Lecturer
Date
24th March ~ 16th June, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Thursday | 09:50 - 11:25 | A3-1a-204 | Zoom 15 | 204 323 0165 | BIMSA |
Prerequisite
algebraic number theory
Reference
1. Cyclotomic Fields and Zeta Values, J. Coates and R. Sujatha.
2. Introduction to Cyclotomic Fields, Lawrence C. Washington.
3. Cyclotomic Fields I and II, Serge Lang.
2. Introduction to Cyclotomic Fields, Lawrence C. Washington.
3. Cyclotomic Fields I and II, Serge Lang.
Audience
Advanced Undergraduate
, Graduate
Video Public
Yes
Notes Public
No
Language
Chinese