Video library: X. Xu, Crystals arising from the WKB analysis

VIDEO LIBRARY


Sino-Russian Hybrid Conference "Geometry and Physics" August 29, 2023 10:00, Moscow, NRU HSE, Steklov Mathematical Institute of RAS

Crystals arising from the WKB analysis X. Xu Peking University, Beijing
Abstract: This talk gives an introduction to the Stokes phenomenon of an irregular Knizhnik–Zamolodchikov equation, associated to a representation $L(\lambda)$ of ${\mathfrak gl}_n$. It then proves that the Stokes matrices of the equation produce representations of quantum group $U_q({\mathfrak gl}_n)$ on $L(\lambda)$. Motivated by the relation with quantum group, it further gives a realization of the gl_n-crystal structures on $L(\lambda)$ via the WKB approximation of the Stokes matrice. Language: English