Derived equivalences for Symplectic reflection algebras
Representation Theory
2020-05-21 v5 Algebraic Geometry
Abstract
In this paper we study derived equivalences for Symplectic reflection algebras. We establish a version of the derived localization theorem between categories of modules over Symplectic reflection algebras and categories of coherent sheaves over quantizations of Q-factorial terminalizations of the symplectic quotient singularities. To do this we construct a Procesi sheaf on the terminalization and show that the quantizations of the terminalization are simple sheaves of algebras. We will also sketch some applications: to the generalized Bernstein inequality and to perversity of wall crossing functors.
Cite
@article{arxiv.1704.05144,
title = {Derived equivalences for Symplectic reflection algebras},
author = {Ivan Losev},
journal= {arXiv preprint arXiv:1704.05144},
year = {2020}
}
Comments
17 pages, v2 acknowledgements added, v3 19 pages, the exposition is made more detailed; v4 accepted version, significant modifications