Serre's Modularity Conjecture

IAS/PRINCETON NUMBER THEORY SEMINAR
Topic:Serre's Modularity Conjecture
Speaker:Chandrashekhar Khare
Affiliation:University of Utah
Date:Friday, December 9
Time/Room:2:00pm - 3:00pm/S-101

The title refers to a conjecture that Serre made in the early 1970's, that has proved to be very influential. I will sketch the main ideas of the proof of the level 1 case of Serre's conjecture. If time permits, I will indicate how these ideas can be extended to prove almost all of Serre's conjecture. The latter is joint work with J-P. Wintenberger.