Two Dimensional Galois Representations Over Imaginary Quadratic Fields

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR
Topic:Two Dimensional Galois Representations Over Imaginary Quadratic Fields
Speaker:Andrei Jorza
Affiliation:Member, School of Mathematics
Date:Thursday, December 16
Time/Room:2:15pm - 3:15pm/S-101
Video Link:https://video.ias.edu/galois/jorza

To a regular algebraic cuspidal representation of GL(2) over a quadratic imaginary field, whose central character is conjugation invariant, Taylor et al. associated a two dimensional Galois representation which is unramified at l different from p outside a finite set of places. The first half of this talk concerns the crystallinity of the Galois representation at p , under a technical assumption. The second half of the talk is on recent work towards local-global compatibility (on GSp(4) and its implication for GL(2)).