Weights in a Serre-Type Conjecture for U(3)

Joint IAS-PU Number Theory Seminar
Topic:Weights in a Serre-Type Conjecture for U(3)
Speaker:Florian Herzig
Affiliation:University of Toronto
Date:Thursday, December 8
Time/Room:4:30pm - 5:30pm/Fine Hall -- 214

We consider a generalization of Serre's conjecture for irreducible, conjugate self-dual Galois representations rho : G_F --> GL_3(\bar F_p), where F is an imaginary quadratic field in which p splits. We previously gave a conjecture for the possible Serre weights of rho. If rho is modular and irreducible locally at p we establish this conjecture, modulo weights that are close to the boundary. Under our assumptions there are 9 predicted weights. This is joint work with Matthew Emerton and Toby Gee.