Geordie Williamson
Published 2016-10-19Version 1
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.
Comments: 20 pages, ECM 2016 lecture
From the Hecke Category to the Unipotent Locus
Hodge theory and unitary representations, in the example of $\mathrm{SL}(2,\mathbb{R})$
Parity sheaves and the Hecke category
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