Joint Seminar on Wednesdays / Fall2019

Joint Seminar on Mathematical Physics
of National Research University HSE and Skoltech Center for Advanced Studies
on Wednesdays at 17.30 at aud. 110 of the HSE Faculty of Mathematics

September 25, 2019 / Alexey Litvinov (Landau Inst., HSE Univ.)
= = = Dual description of the deformed OSP sigma models
October 2, 2019 / Boris Feigin (HSE Univ., Landau Inst.)
= = = W algebras related to Lie superalgebras, (twisted) affine Yangians and coset theories
October 9, 2019 / Albert Schwarz (Univ. of California, Davis)
= = = Inclusive scattering matrix in perturbation theory and in algebraic quantum theory
October 16, 2019 / Nikita Nekrasov (Simons Center for Geometry and Physics, Skoltech)
= = = On recent progress in old problems: wavefunctions of quantum integrable systems from gauge theory and Bethe/gauge dual of N=4 super-Yang-Mills theory, Part I

October 23, 2019
Alba Grassi
(Simons Center for Geometry and Physics)
Non-perturbative approaches to quantum Seiberg–Witten curves

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, by using the TS/ST correspondence, we can obtain a closed formula for the Fredholm determinant and the spectral traces of the modified Mathieu operator. Finally, by using blowup equations, I will explain the connection between this operator and the tau function of Painlevé III