Learning Seminar on Modularity Lifting
Fall 2023

Basic information

Organizers: Daniel Le, Heejong Lee and Tong Liu

Class number for registration: TBA

Lectures:
Thursday 1:30-3:00 pm, Math 731 for the first week

Tuesday 1:30 pm - 3:00 pm, Math 731

Announcements

Aug. 24th The first talk is given by Tong Liu note.

Aug. 28th The second talk is given by Christian Hokaj

Sep. 5th The third talk is given by Nicolas Diaz-Wahl

Sep. 12th The 4th talk is given by Mansimar Singh

Sep. 19th The 5th talk is given by Boqiang Zhang

Sep. 26th The 6th talk is given by Nicolas Diaz-Wahl

Oct. 3rd The 7th talk is given by Heejong Lee

Tentative topics and shedule:

  1. Please see the plan here.

Resources and useful links:

FLT by Darmon Diamond and Taylor [DDT]

Tate's paper on elliptic curve [Tate]

Modularity lifting theorems [Gee]

A tameness criterion for Galois representations associated to modular forms (modp)[Gross]

A First Course in Modular Forms [DS], available in Purdue's Library for digital copy.

William Stein's note on Eichler-Shimura relation[Stein]

Aug. 21st, 2023