Xiaomeng Xu (MIT), Stokes phenomenon, Gelfand-Zeitlin systems and quantum groups

Abstract: We relate certain irregular Riemann-Hilbert maps to Gelfand-Zeitlin systems. As a quantum analogue, 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.