BUNTES: Class Field Theory
2022 Spring
Spring 2022 BUNTES will cover approaches to class field
theory. Meetings will occur in-person at Boston University's
math department.
A majority of the semester will be spent exploring the basics
and facets of class field theory, ranging from basic algebraic
number theory to L-function methods, Galois cohomology of
ideles, local-to-global approach, and the global-to-local approach.
The remainder (if any) of the semester will be spent on developments
of class field theory to be determined. Possible topics are
explicit class field theory, the relationship with Langlands,
geometric class field theory, etc.
The main references will be Milne's notes on class field theory
[Mil],
Lang's Algebraic Number Theory as well as his two volumes on
cyclotomic fields, and Cassels and Frohlich.
Meeting Times: Tuesday, 5:00 PM Eastern Time.
| Date | Topic | Speaker | Reference |
|---|---|---|---|
| 2/1 | History of CFT | John | [KC] |
| 2/8 | Discriminant and Different | Kate | Lang Ch III |
| 2/15 | L-functions and Density | Steve | Milne Ch VI |
| 2/22 | No Meeting | N/A | N/A |
| 3/1 | Cyclic Fields and Herbrand Quotient | Xinyu | TBD |
| 3/8 | AWS | No Mtg | Rest |
| 3/15 | Artin Symbol Computations | TBD | TBD |
| 3/22 | Galois Cohomology | TBD | TBD |
| 3/29 | TBD | TBD | TBD |
| 4/5 | TBD | TBD | TBD |
| 4/12 | TBD | TBD | TBD |
| 4/19 | TBD | TBD | TBD |
| 4/26 | TBD | TBD | TBD |
| 5/3 | TBD | TBD | TBD |