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Ind-geometric stacks

Published 5 Jun 2023 in math.AG and math.RT | (2306.03043v2)

Abstract: 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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