Stability conditions and the Painlevé equations

18.05.2021 13:15 - 14:45

Tom Sutherland (University of Lisbon/University of Vienna)

I will give an explicit description of the space of stability conditions of a set of Calabi-Yau-3 triangulated categories labelled by the Painlevé equations.  We will see how the Painlevé equations appear in a Riemann-Hilbert problem motivated by the enumerative geometry of Calabi-Yau-3 categories whose solution is related to the study of the monodromy of certain opers on the projective line.


H. Grobner, A. Minguez-Espallargas, A. Mellit

Meeting ID: 431 655 310, Passcode: 0cnL5d