Hodge theory of classifying spaces
-- Burt Totaro, March 31, 2017
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The goal of this talk is to create a correspondence between
the representation theory of algebraic groups and the topology of Lie
groups. The idea is to study the Hodge theory of the classifying space
of a reductive group over a field of characteristic p, the case of
characteristic 0 being well known.  The approach yields new
calculations in representation theory, motivated by topology.