Видеотека: X. Xu, Crystals arising from the WKB analysis

ВИДЕОТЕКА


Sino-Russian Hybrid Conference "Geometry and Physics" 29 августа 2023 г. 10:00, г. Москва, НИУ ВШЭ, МИАН

Crystals arising from the WKB analysis X. Xu Peking University, Beijing
Аннотация: 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. Язык доклада: английский