Quantum Stokes matrices, WKB approximation and crystals
数学专题报告
报告题目(Title)：Quantum Stokes matrices, WKB approximation and crystals
报告人(Speaker)：徐晓濛（北京大学）
地点(Place)：后主楼1220报告厅
时间(Time)：2024年6月25日 15:00-15:50
邀请人(Inviter)： 肖杰、覃帆、周宇、方杰鹏、兰亦心
报告摘要
This talk gives an introduction to the Stokes phenomenon of the universal quantum linear ordinary differential equations at an arbitrary order pole. It then proves that the quantum Stokes matrices give rise to an associative algebra, that quantize the Poisson structure on the moduli space of meromorphic connections at a k-th order pole. In the case k=2, the resulting associative algebra is the Drinfeld-Jimbo quantum group. It further shows that the WKB approximation of the quantum Stokes matrices encodes the crystal structures.
