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The Hodge theory of the Hecke category

Published 19 Oct 2016 in math.RT, math.AG, and math.CO | (1610.06246v1)

Abstract: Ideas from Hodge theory have found important applications in representation theory. We give a survey of joint work with Ben Elias which uncovers Hodge theoretic structure in the Hecke category ("Soergel bimodules"). We also outline similarities and differences to other combinatorial Hodge theories.

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