Peter Sarnak Nov 30, 2021

Peter SarnakIAS Princeton, USA

Reflection groups and monodromy
Nov 30, 2021
UTC +3

Vinberg's theory of reflection groups has wide applications. We discuss some of these, to monodromy groups of hypergeometric and Painlevé equations. The nonlinear case is intimately connected to affine Markoff surfaces and it is a central ingredient in the Diophantine analysis of these surfaces.