# 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.