Description
I will explain the formula of Gamayun, Iorgov and Lysovyy relating Painleve VI tau-function to $c=1$ conformal blocks and some of it generalizations, using the blowup formulas for $N_f = 2N_c$ supersymmetric $N=2$ $d=4$ theory. If time permits I will talk about the eigenvalue problem for the elliptic Calogero-Moser system.