Explicit Serre Weight Conjectures

Explicit Serre Weight Conjectures -Florian Herzig

Florian Herzig
Institute for Advanced Study
October 28, 2010

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.