Algebra Seminar: Symmetric groups, Schur algebras and symmetric products of the plane
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3620 South Vermont Avenue, Los Angeles, CA 90089
Carl Mautner, UC Riverside
Abstract: In joint work with Tom Braden we introduce a new algebra, a close cousin to the Schur algebra. Like the Schur algebra, it can be defined in terms of the symmetric group and has a nice diagrammatic description. Geometrically, this algebra appears in our study of perverse sheaves on S^n(C^2), the n-fold symmetric product of the plane. In this talk I will aim to describe our motivation for this work and some interesting properties of the algebra.
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