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Titlebook: Representation Theory and Algebraic Geometry; A Conference Celebra Vladimir Baranovsky,Nicolas Guay,Travis Schedler Book 2022 Springer Natu

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Totally Aspherical Parameters for Cherednik AlgebrasWe introduce the notion of a totally aspherical parameter for a rational Cherednik algebra. We get an explicit construction of the projective object defining the KZ functor for such parameters. We establish the existence of sufficiently many totally aspherical parameters for the groups .(., 1, .).
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Microlocal Approach to Lusztig’s SymmetriesWe reformulate the De Concini-Toledano Laredo conjecture about the monodromy of the Casimir connection in terms of a relation between Lusztig’s symmetries of quantum group modules and the monodromy in the vanishing cycles of factorizable sheaves.
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Vladimir Baranovsky,Nicolas Guay,Travis SchedlerExplores the influential work of Alexander Beilinson and Victor Ginzburg in algebraic geometry and representation theory.Contains cutting-edge research from leaders in the area, all of whom are deeply
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Fourier-Sato Transform on Hyperplane Arrangementslogy, sheaf-theoretically, can be understood as cohomology with compact support, interesting operations on perverse sheaves usually combine the functors of the types . and . or, dually, the functors of the types . and . in the classical formalism of Grothendieck.
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Fourier-Sato Transform on Hyperplane Arrangementslogy, sheaf-theoretically, can be understood as cohomology with compact support, interesting operations on perverse sheaves usually combine the functors of the types . and . or, dually, the functors of the types . and . in the classical formalism of Grothendieck.
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The Semi-infinite Intersection Cohomology Sheaf-II: The Ran Space Versiont, denoted ., which we call the ...Unlike the situation of [.], this . is defined as the middle of extension of the constant (more precisely, dualizing) sheaf on the basic stratum, in a certain t-structure. We give several explicit descriptions and characterizations of .: we describe its !- and *- s
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