The Vinberg Distinguished Lecture Series

Nov 30, 2021

Peter Sarnak

IAS Princeton, USA

Reflection groups and monodromy


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.

A video of this lecture is available below.

Vinberg Distinguished Lecture Scientific Committee

Nikolay Bogachev​

University of Toronto, Canada

Sasha Kolpakov​

University of Neuchâtel, Switzerland

Alex Kontorovich

Rutgers University, USA