Explicit Serre Weight Conjectures

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR
Topic:Explicit Serre Weight Conjectures
Speaker:Florian Herzig
Affiliation:Member, School of Mathematics
Date:Thursday, October 28
Time/Room:2:15pm - 3:15pm/S-101
Video Link:https://video.ias.edu/galois/herzig

We will discuss a generalisation of Serre's conjecture on the possible weights of modular mod p Galois representations for a broad class of reductive groups. In good cases (essentially when the Galois representation is tamely ramified at p) the predicted weight set can be made explicit and compared to previous conjectures. This is joint work with Toby Gee and David Savitt.