Modularity lifting seminar webpage
The schedule for the seminar.
The following table lists all the lectures and contains notes for some
of them. At the moment, these notes are somewhat informal. Eventually
there should be notes for all lectures, and they should be a bit more
polished.
Fall quarter
1
Oct 2
Brian
Galois representations from classical modular forms
pdf
2
Oct 9
Akshay
Serre's conjecture and more
pdf
3
Oct 16
Mok
Galois deformation rings
pdf
4
Oct 23
Brian
Generic fibers of deformation rings
pdf
5
Oct 30
Brandon
Schlessinger's criterion and deformation conditions
pdf
6
Nov 6
Samit
Presentations of deformation rings
pdf
7
Nov 13
Rebecca
Theorems from Galois cohomology
pdf
8
Nov 20
Burcu
Hecke algebras and Galois representations
pdf
Winter quarter
9
Jan 8
Marty
Representations of p-adic groups
pdf
10
Jan 22/29
Denis
Automorphic representations
pdf
11
Jan 29
Andrew
Hecke characters and Galois characters
pdf
12
Feb 5
Andrew
Modular forms on quaternion algebras
pdf
13
Feb 5
Mike
Central simple algebras
pdf
14
Feb 12
Akshay
The Jacquet-Langlands correspondence
pdf
15
Feb 19
Alex
Automorphic Galois representations and base change
pdf
16
Feb 26
Andrew
Review of representation theory
pdf
17
Mar 5
Mok
Modular forms on quaternion algebras
18
Mar 12
Andrew
Overview of the Taylor-Wiles method
pdf
Spring quarter
19
Apr 1
Simon
Review of Galois deformation theory
pdf
20
Apr 8
Rebecca
Structure of deformation rings away from p
pdf
21
Apr 15/22
Brian
Structure of deformation rings at p
pdf
22
Apr 29
Akshay
Level raising and lowering
23
May 6
Andrew
Local properties of modular Galois representations
pdf
24
May 13
Mike
Taylor-Wiles primes
pdf
25
May 20
Sam
Congruences at Taylor-Wiles primes
pdf
26
May 25
Andrew
Potential modularity and applications
pdf
27
May 27
Brandon
The patching argument
pdf
Sam took notes for most of the Fall quarter. These have been broken up
to form some of the above files. His original files are here:
[pdf]
[tex]
Last updated May 27, 2010