Representation theory of symplectic singularities

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Date 12.05.2014
Hour 15:1517:00
Speaker Ben Webster, University of Virginia
Location
Category Conferences - Seminars
Since they were introduced about 2 decades ago, symplectic singularities have shown themselves to be a remarkable branch of algebraic geometry.  They are much nicer in many ways than arbitrary singularities, but still have a lot of interesting nooks and crannies.
I'll talk about these varieties from a representation theorist's perspective.  This might sound like a strange direction, but remember, any interesting symplectic structure is likely to be the classical limit of an equally interesting non-commutative structure, whose representation theory we can study. While this field is still in its infancy, it includes a lot of well-known examples like universal enveloping algebras and Cherednik algebras, and has led a lot of interesting places, including to categorified knot invariants and a conjectured duality between pairs of symplectic singularities.  I'll give a taste of these results and try to indicate some interesting future directions.

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  • Free

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