MS Seminar (Mathematics - String Theory)

Speaker: Andrea Appel (University of Edinburgh)
Title: Quantum groups and monodromy
Date (JST): Tue, Mar 27, 2018, 13:15 - 14:45
Place: Seminar Room A
Abstract: The monodromy of linear differential equations can be thought of as an analytic map generalizing the exponential map of a Lie group. Its computation may be rather cumbersome, but, in the case of certain very special equations arising in representation theory and mathematical physics it is possible to obtain an algebraic and seemingly more explicit description in terms of quantum groups.
In the first part of this talk, I will describe several examples involving both differential and difference equations, while in the second part I will mainly focus on the monodromy of the rational Casimir connection, following joint works with V. Toledano Laredo.