Monday 10/05/2021 at 15:00, Theoretical Seminar:
Alba Grassi (University of Geneva & CERN), "Quantum spectral problems and Painlevé equations".

To get the Zoom link: contact by email
-Prof. Raffaele Savelli, raffaele.savelli@roma2.infn.it <mailto:raffaele.savelli@roma2.infn.it>

Abstract:  In the first part of the talk I will review some aspects of the Painlevé/gauge correspondence. In particular I will show how we can construct generic and explicit solutions to such nonlinear ODEs by using the Nekrasov partition function in the (epsilon1+ epsilon2=0) phase of the Omega background (Kiev construction). In the second part I will show how we can systematically associate a set of quantum systems to such nonlinear ODEs and how their spectral properties are completely determined by the Kiev formula and thus by the (epsilon1+epsilon2=0) phase of the Omega background. 
This is based on work in collaboration with M.Bershtein and P. Gavrylenko.