University of Cambridge > > Number Theory Seminar > The Buzzard-Diamond-Jarvis conjecture for unitary groups

The Buzzard-Diamond-Jarvis conjecture for unitary groups

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If you have a question about this talk, please contact Tom Fisher.

We will discuss the proof of the weight part of Serre’s conjecture for rank two unitary groups in the unramified case (that is, the Buzzard-Diamond-Jarvis conjecture for unitary groups).  This is joint work with Toby Gee and Tong Liu.  More precisely, we prove that any Serre weight which occurs is a predicted weight; this completes the analysis begun by Barnet-Lamb, Gee, and Geraghty, who proved that all predicted weights occur.  Our methods are purely local, using Liu’s theory of (phi,G-hat) modules to determine the possible reductions mod p of certain two-dimensional crystalline Galois representations.

This talk is part of the Number Theory Seminar series.

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