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Gaitsgory's central sheaves via the diagrammatic Hecke category

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arxiv 1811.06188 v1 pith:L7Y5GO5Z submitted 2018-11-15 math.RT

Ben Elias This is my paper · ORCID
classification math.RT
keywords centralcomplexconjecturegaitsgorysheavestypeaffineassociated
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We initiate the study of Gaitsgory's central sheaves using complexes of Soergel bimodules, in extended affine type A. We conjecture that the complex associated to the standard representation can be flattened to a central complex in finite type A, which is the complex sought after in a conjecture of Gorsky-Negut-Rasmussen.

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  1. Induction for extended affine type A Soergel bimodules: first steps

    math.RT 2025-07 accept novelty 6.0 of 10

    A categorical embedding Ψ for extended affine type A Soergel bimodules is constructed, categorifying the Hecke algebra parabolic embedding, with an example categorifying the Zelevinsky tensor product of two trivial re...

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