Galois Representations Associated to Holomorphic Limits of Discrete Series

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR
Topic:Galois Representations Associated to Holomorphic Limits of Discrete Series
Speaker:Wushi Goldring
Affiliation:Harvard University
Date:Wednesday, March 9
Time/Room:2:15pm - 3:15pm/S-101
Video Link:https://video.ias.edu/galois/2011/03/09/wushi

We attach Galois representations to automorphic representations on unitary groups whose weight (=component at infinity) is a holomorphic limit of discrete series. The main innovation is a new construction of congruences, using the Hasse Invariant, which avoids q-expansions and so is applicable in much greater generality than previous methods. Our result is a natural generalization of the classical Deligne-Serre Theorem on weight one modular forms and work of Taylor on GSp(4).