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Title:
Modularity lifting theorems for non-regular symplectic representations

Speaker:
George Boxer

Abstract:
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.)

Link:
https://www.ias.edu/video/MotivesGaloisRepsandCohomology/2017/1107-GeorgeBoxer