5. Conformal Field Theory

Problem 5.1.
Can one understand the connection between Painlevé and Conformal Field Theory (conformal blocks)? 
Problem 5.2.
Can one understand the $\tau$functions for Painlevé VI as Freidholm determinants?
Cite this as: AimPL: Painleve equations and their applications, available at http://aimpl.org/painleveapp.