Two 2-categories categorify the monodromic Hecke algebra and are proven equivalent, extending Soergel and diagrammatic calculi with links to parity sheaves and endoscopic unipotent categories.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Generalizes parity sheaves to twisted equivariant versions, constructs a modular monodromic Hecke category, and proves a monoidal equivalence to the ordinary Hecke category on the endoscopic group.
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Soergel calculus for monodromic Hecke categories
Two 2-categories categorify the monodromic Hecke algebra and are proven equivalent, extending Soergel and diagrammatic calculi with links to parity sheaves and endoscopic unipotent categories.
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Endoscopy for Modular Hecke Categories
Generalizes parity sheaves to twisted equivariant versions, constructs a modular monodromic Hecke category, and proves a monoidal equivalence to the ordinary Hecke category on the endoscopic group.