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Ind-geometric stacks

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arxiv 2306.03043 v2 pith:A5DQX2LI submitted 2023-06-05 math.AG math.RT

Sabin Cautis , Harold Williams This is my paper · ORCID
classification math.AGmath.RT
keywords theorycategorycoherentind-geometricstacksaffinebranchescategories
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We develop the theory of ind-geometric stacks, in particular their coherent and ind-coherent sheaf theory. This provides a convenient framework for working with equivariant sheaves on ind-schemes, especially in derived settings. Motivating examples include the coherent Satake category, the double affine Hecke category, and related categories in the theory of Coulomb branches.

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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. Even periodization of spectral stacks

    math.AG 2025-04 conditional novelty 7.0 of 10

    Even periodization of spectral stacks recovers the even filtration, the oriented elliptic curve moduli stack from TMF, the chromatic stack from the sphere, and a Nygaard-complete form of prismatization.

  2. Monoidal categorification of genus zero skein algebras

    math.RT 2025-05 conditional novelty 6.0 of 10

    The relative Kauffman bracket skein algebra of a genus zero surface with boundary is isomorphic to a quantized K-theoretic Coulomb branch, yielding a convolution-product categorification.

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