Monday, April 8, 1:00-2:00 PM, in Burnside Hall 920

Fred Diamond
Geometric Serre weights for Hilbert modular forms: cycles, rings and umbrae

Abstract: I’ll discuss a version of the weight part of Serre’s Conjecture for geometrically defined Hilbert modular forms (in characteristic p), including recent results involving forms of partial weight one (joint with Sasaki). The contrived subtitle refers to a refined version of the conjecture and the relation with theta-cycles (joint with Kassaei and Wiersema).