Stokes phenomenon, WKB analysis and crystal basis

Prof. Xiaomeng Xu
2026-04-15 10:30-11:30
MCM410

Speaker: Prof. Xiaomeng Xu (BICMR)

Title: Stokes phenomenon, WKB analysis and crystal basis

Time: 10:30-11:30  April 15, 2026 (Wednesday)

Place: MCM410

Abstract: This talk gives an introduction to the Stokes phenomenong of meromorphic linear system of ordinary differential equations at a second order pole. It then explains how (quantum) Stokes matrices, that measure the jump of asymptotics of solutions at the pole, give rise to quantum groups. In the end, it shows that the WKB approximation of Stokes matrices are described by the crystal structures of quantum groups.