| Speaker: | Andrea Appel (U of Edinburgh) |
|---|---|
| Title: | Dual exponentials and their quantization |
| Date (JST): | Tue, Dec 11, 2018, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: |
The linearization theorem of Ginzburg and Weinstein states that, for any compact Lie group with its standard Poisson structure, there exists a dual exponential, that is, a Poisson diffeomorphism between the dual Poisson Lie group and the dual Lie algebra with the Kirillov Poisson structure.This was later generalized by Boalch, through an irregular Riemann-Hilbert correspondence, and by Enriquez-Etingof-Marshall, relying on Etingof-Kazhdan quantization of Lie bialgebras. In this talk, I will show how, as initially conjectured by Ginzburg and Weinstein, examples of dual exponentials in type A can be obtained as semiclassical limit of certain explicit algebra isomorphisms between the quantum group of sl(n) and the universal enveloping algebra. This is joint work with S. Gautam. |
| Remarks: | Blackboard talk |
