Monday, March 2, 2020 - 4:30pm to 6:00pm
In this talk I will revisit and connect various non-perturbative approaches to the quantization of the Seiberg-Witten curves. I will focus on the explicit example of N = 2, SU(2) super Yang–Mills theory, which is closely related to the modified Mathieu operator. I will then show how we can obtain a closed formula for the Fredholm determinant and the spectral traces of this operator. Finally, if time permits, I will make contact with the Painlevé/gauge correspondence and explain the connection between modified Mathieu and the tau function of Painlevé III.