Exact WKB Analysis and Riemann-Hilbert Problems
发布时间：2022年09月14日
浏览次数：3561
发布者: Wenqiong Li
主讲人： Dylan Allegretti (Tsinghua University)
活动时间： 从 2022-09-20 14:00 到 15:00
场地： 北京国际数学研究中心，全斋全29教室
As part of their work on the physics of N=2 field theories in four dimensions, Gaiotto, Moore, and Neitzke described an interesting class of Riemann-Hilbert problems. More recently, Bridgeland studied a related class of Riemann-Hilbert problems arising in a particular limit known as the conformal limit. In this talk, I will explain how tools from exact WKB analysis can be used to solve Bridgeland's Riemann-Hilbert problem in a large class of examples associated to quadratic differentials. This gives a mathematically rigorous approach to the construction of Gaiotto, Moore, and Neitzke in the conformal limit.
