Perverse sheaves on symmetric products of the plane
Carl Mautner (UC Riverside)
Abstract: In joint work with Tom Braden we give a purely algebraic description of the category of perverse sheaves (with coefficients in any field) on $S^n(C^2)$, the n-fold symmetric product of the plane. In particular, using the geometry of the Hilbert scheme of points, we relate this category to the symmetric group and its representation ring. Our work is motivated by analogous structure appearing in the Springer resolution and Hilbert-Chow morphism.
mathematical physicsalgebraic geometrydifferential geometrygeometric topologyoperator algebrasrepresentation theorysymplectic geometry
Audience: researchers in the topic
Geometry, Physics, and Representation Theory Seminar
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