Stokes phenomenon, braid groups and Berenstein-Kirillov groups (Xiaomeng Xu, ETH Zurich and Péking University)

03.12.2019 15:00 – 17:00

In this talk, we first give a review on the Stokes phenomenon of meromorphic linear systems of ordinary differential equations. We then use the Stokes phenomenon to understand several group actions form representation theory. In particular, we show that braid group actions on a tensor product of g-modules by quantum R-matrices can be obtained by the Stokes matrices of generalized KZ equations (a Drinfeld-Kohno type theorem). We also propose a possible way to obtain Berenstein-Kirillov groups actions on Gelfand-Zeitlin patterns via Stokes matrices.

Lieu

Bâtiment: Battelle

Séminaire "The Stokes seminar"

Organisé par

Faculté des sciences
Section de mathématiques

Intervenants

Xiaomeng Xu, ETH Zurich and Péking University

entrée libre

Classement

Catégorie: Séminaire