|GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR|
|Topic:||Galois Representations Associated to Holomorphic Limits of Discrete Series|
|Date:||Wednesday, March 9|
|Time/Room:||2:15pm - 3:15pm/S-101|
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).