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.