| Speaker: | Pedram Hekmati (U Auckland) |
|---|---|
| Title: | A quantum refinement of equivariant cohomology |
| Date (JST): | Tue, Aug 28, 2018, 13:15 - 14:45 |
| Place: | Seminar Room A |
| Abstract: | The Duflo homomorphism quantizes the Poisson algebra of symmetric polynomials on a Lie algebra to the enveloping algebra, in such a way that the restriction to the centers is a ring isomorphism. In this talk I will first review the Duflo homomorphism and its relation to equivariant cohomology. I will then introduce a refinement of equivariant cohomology based on the universal affine vertex algebra and discuss some applications. Interestingly this construction only works at the critical level, where the vertex algebra acquires a non-trivial center. |
| Remarks: | blackboard talk |
