Universal monodromic tilting sheaves

Jeremy Taylor

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arXiv · 2305.03033

Universal monodromic tilting sheaves

Jeremy Taylor

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Abstract

We construct the universal monodromic big tilting sheaf on base affine space and calculate its endomorphisms. By formal completion, we recover Soergel's pro-unipotent Endomorphismensatz with arbitrary field coefficients. We give a Soergel bimodules description of the universal monodromic Hecke category and deduce a conjecture of Eberhardt that uncompletes Koszul duality.

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BibTeX RIS

Jeremy Taylor. 2023-05-04. Universal monodromic tilting sheaves. https://arxiv.org/abs/2305.03033

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