[geometry-ml:03540] MS seminar at Kavli IPMU -- Andrea Appel (U of Edinburgh) -- Dec 11, 2018

[Todor Milanov]

Dear all,

I would like to announce the following Mathematics and String theory seminar at IPMU

Speaker: Andrea Appel (U of Edinburgh)
Date:	Tue, Dec 11, 2018, 15:30 - 17:00
Place:	Seminar Room A

Title:	Dual exponentials and their quantization

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.




-----------------------------

Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp