European Congress of Mathematics

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pp: 663–683

DOI: 10.4171/176-1/31

The Hodge theory of the Hecke category

Geordie Williamson[1]

(1) University of Sydney, Australia

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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