Modular Representation Theory and Parity Sheaves

Carl Mautner (MPI Bonn)

Thursday 15th May, 2014 16:00-17:00 Maths 204


In the 1920's, Weyl proved a formula for the characters of the irreducible representations of reductive groups (e.g., the general linear group) over the complex numbers. In 1979, George Lusztig announced a conjectural character formula for representations of reductive groups over fields of positive characteristic. I will briefly discuss a history of the problem and explain the role of geometric objects called parity sheaves in recent advances. 

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