Workshop on Serre's Conjecture at CMI

September 24 - October 5, 2007

Schedule of Lectures


There will be two weeks of lectures. The first week will cover some background needed for the proof, and the second week will go over as much of the proof as possible.

1  Week 1 - September 24-28: Background


1.1  Schedule


Monday Tuesday Wednesday Thursday Friday
10:00 - 11:00 Supriya Satadal Sujatha Sarah Dalawat
11:30 - 12:30 Soumya Sahu Anand Dalawat Sarah
2:30 - 3:30 Arati Ganesh Parvati Tejaswi Tejaswi
4:00 - 5:00 Debargha Chandrakant Sarah

1.2  Speakers


Speaker Topic
Supriya Local and global fields, Infinite Galois theory
Soumya Decomposition, inertia, ramification subgroups
Debargha / Arati Elliptic modular forms
Satadal / Sahu Hilbert modular forms
Ganesh Galois representations attached to elliptic modular forms
Chandrakant Galois representations attached to Hilbert modular forms
Sujatha Statement of Serre's conjecture (Level/Character)
Anand Statement of Serre's conjecture (Weight)
Parvati Evidence: level 1 and p = 2, 3
Tejaswi / Dalawat Deformation theory
Sarah p-adic Hodge theory

2  Week 2 - October 1-5: The proof


2.1  Schedule


Monday Tuesday Wednesday Thursday Friday
10:00 - 11:00 Eknath Eknath Sujatha Sujatha
11:30 - 12:30 Anand Anand Rajan Rajan
2:30 - 3:30 Hogadi Ducrochet Dalawat Dalawat
4:00 - 5:00 Najib Najib Eknath Eknath

2.2  Speakers


Speaker Topic
Eknath Overview of the proof in the level 1 case
Anand Existence of minimal lifts
Najib Compatible systems
Hogadi / Ducrochet Moret-Bailly's theorem
Sujatha Potential Serre
Rajan Classification of p-divisible groups
Dalawat Modularity lifting theorems
Eknath Overview of the proof in the general case


File translated from TEX by TTH, version 3.74.
On 13 Sep 2007, 16:16.