|GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR|
|Topic:||Two Dimensional Galois Representations Over Imaginary Quadratic Fields|
|Affiliation:||Member, School of Mathematics|
|Date:||Thursday, December 16|
|Time/Room:||2:15pm - 3:15pm/S-101|
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)).