Exact WKB Analysis and Riemann-Hilbert Problems
Time: 2022-09-14
Published By: Wenqiong Li
Speaker(s): Dylan Allegretti (Tsinghua University)
Time: 14:00-15:00 September 20, 2022
Venue: Room 29, Quan Zhai, BICMR
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.
