BooksStandalone TitlesCollected Volumepp. 663–683

The Hodge theory of the Hecke category

  • Geordie Williamson

    University of Sydney, Australia
The Hodge theory of the Hecke category cover
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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.