Geometric Structures Laboratory

Event Information Stokes phenomenon, Gelfand-Zeitlin systems and quantum groups
11:10 on Thursday March 30, 2017
12:00 on Thursday March 30, 2017
Stewart Library, Fields Institute, 222 College St.
Xiaomeng Xu

MIT

We first relate the Stokes matrices of certain meromorphic connections to Gelfand-Zeitlin systems.

We then discuss the quantization of the Stokes matrices and isomonodromy deformation equations. In particular, we show that the (quantum) Stokes factors of a Knizhnik-Zamolodchikov type equation satisfy Yang-Baxter equation. This part is joint with V. Toledano Laredo. We then discuss some related questions.