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arXiv · 1108.4028

Equivariant Coherent Sheaves, Soergel Bimodules, and Categorification of Affine Hecke Algebras

Christopher Dodd
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Abstract

We give a description of certain categories of equivariant coherent sheaves on Grothendieck's resolution in terms of the categorical affine Hecke algebra of Soergel. As an application, we deduce a relationship of these coherent sheaf categories to the categories of perverse sheaves considered in the work of Bezrukavnikov-Yun, generalizing results of Arkhipov-Bezrukavnikov. In addition, we deduce that the weak braid group action on sheaves of Riche and Bezrukavnikov-Riche can be upgraded to a strict braid group action.

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Christopher Dodd. 2011-08-19. Equivariant Coherent Sheaves, Soergel Bimodules, and Categorification of Affine Hecke Algebras. https://arxiv.org/abs/1108.4028

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