Видеотека: Xiaomeng Xu, The quantization of irregular Riemann--Hilbert maps

ВИДЕОТЕКА


Sino-Russian Interdisciplinary Mathematical Conference-2 26 ноября 2024 г. 15:00, Moscow, MIAN, conference hall, floor 9

The quantization of irregular Riemann–Hilbert maps Xiaomeng Xu
Аннотация: This talk gives an introduction to the Stokes phenomenon and the Riemann–Hilbert–Birkhoff (RHB) map of meromorphic connections at a $k$-th order pole. It then introduces the quantum Stokes matrices at a $k$-th order pole, and proves that they give rise to a quantization of the RHB map. In the case of second order pole, it becomes a dictionary between the Stokes phenomenon and the theory of quantum groups Язык доклада: английский