Columbia Mathematics Department Colloquium


Representation theory of symplectic singularities


Ben Webster

Northeastern University



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.


Wednesday, February 20th, 5:00 - 6:00 p.m.
Mathematics 520
Tea will be served at 4:30 p.m.