English

Ind-geometric stacks

Algebraic Geometry 2024-01-11 v2 Representation Theory

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.

Keywords

Cite

@article{arxiv.2306.03043,
  title  = {Ind-geometric stacks},
  author = {Sabin Cautis and Harold Williams},
  journal= {arXiv preprint arXiv:2306.03043},
  year   = {2024}
}

Comments

67 pages

R2 v1 2026-06-28T10:56:54.603Z