Modularity lifting theorems for non-regular symplectic representations

Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program
Topic:Modularity lifting theorems for non-regular symplectic representations
Speaker:George Boxer
Affiliation:University of Chicago
Date:Tuesday, November 7
Time/Room:11:30am - 12:30pm/S-101
Video Link:https://video.ias.edu/MotivesGaloisRepsandCohomology/2017/1107-GeorgeBoxer

Abstract:  We prove an ordinary modularity lifting theorem for certain non-regular 4-dimensional symplectic representations over totally real fields.  The argument uses both higher Hida theory and the Calegari-Geraghty version of the Taylor-Wiles method.  We also present some applications of these theorems to abelian surfaces.  (Joint work with F. Calegari, T. Gee, and V. Pilloni.)