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arXiv · 1501.00643

Procesi bundles and Symplectic reflection algebras

Ivan Losev
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Abstract

In this survey we describe an interplay between Procesi bundles on symplectic resolutions of quotient singularities and Symplectic reflection algebras. Procesi bundles were constructed by Haiman and, in a greater generality, by Bezrukavnikov and Kaledin. Symplectic reflection algebras are deformations of skew-group algebras defined in complete generality by Etingof and Ginzburg. We construct and classify Procesi bundles, prove an isomorphism between spherical Symplectic reflection algebras, give a proof of wreath Macdonald positivity and of localization theorems for cyclotomic Rational Cherednik algebras.

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Ivan Losev. 2015-01-04. Procesi bundles and Symplectic reflection algebras. https://arxiv.org/abs/1501.00643

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