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Cherednik algebras and Hilbert schemes in characteristic p (with an appendix by Pavel Etingof)
Roman Bezrukavnikov, Michael Finkelberg, Victor Ginzburg
We prove a localization theorem for the type A rational Cherednik algebra H_c=H_{1,c} over an algebraic closure of the finite field F_p. In the most interesting special case where…
Hamiltonian reduction and Maurer-Cartan equations
Wee Liang Gan, Victor Ginzburg
We show that solving the Maurer-Cartan equations is, essentially, the same thing as performing the Hamiltonian reduction construction. In particular, any differential graded Lie al…
Quantum Groups, the loop Grassmannian, and the Springer resolution
Sergey Arkhipov, Roman Bezrukavnikov, Victor Ginzburg
We establish equivalences of derived categories of the following 3 categories: (1) Principal block of representations of the quantum at a root of 1; (2) G-equivariant coherent shea…