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CHEREDNIK ALGEBRAS FOR ALGEBRAIC CURVES MICHAEL FINKELBERG

By Victor Ginzburg and To George Lusztig Admiration

Abstract

Abstract. For any algebraic curve C and n ≥ 1, P. Etingof introduced a ‘global ’ Cherednik algebra as a natural deformation of the cross product D(C n)⋊Sn, of the algebra of differential operators on C n and the symmetric group. We provide a construction of the global Cherednik algebra in terms of quantum Hamiltonian reduction. We study a category of character D-modules on a representation scheme associated to C and define a Hamiltonian reduction functo

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