Abstract

MAKISUMI, Shotaro. On monoidal Koszul duality for the Hecke category. Rev.colomb.mat. [online]. 2019, vol.53, suppl.1, pp.195-222.  Epub Mar 24, 2020. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v53nsupl.84084.

We attempt to give a gentle (though ahistorical) introduction to Koszul duality phenomena for the Hecke category, focusing on the form of this duality studied in joint work [1, 2] of Achar, Riche, Williamson, and the author. We illustrate some key phenomena and constructions for the simplest nontrivial case of (finite) SL2 using Soergel bimodules, a concrete algebraic model of the Hecke category.

Keywords : Hecke algebra; Hecke category; Soergel bimodules; Koszul duality.

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