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Universal monodromic tilting sheaves

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arxiv 2305.03033 v7 pith:OCDGKF33 submitted 2023-05-04 math.RT

Jeremy Taylor This is my paper · ORCID
classification math.RT
keywords monodromicuniversalsoergeltiltingaffinearbitrarybasebimodules
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tame local Betti geometric Langlands

    math.RT 2025-01 conditional novelty 7.0 of 10

    The authors prove the tame local Betti geometric Langlands correspondence, a monoidal equivalence between ind-coherent sheaves on a Steinberg stack and nilpotent-singular-support Betti sheaves on a monodromic Hecke stack.

  2. The universal monodromic Arkhipov--Bezrukavnikov equivalence

    math.RT 2025-01 conditional novelty 7.0 of 10

    The universal monodromic Arkhipov-Bezrukavnikov equivalence identifies universal monodromic Iwahori-Whittaker sheaves with quasicoherent sheaves on the Grothendieck alteration, plus a monoidal bi-Whittaker equivalence.

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