EVENT DETAILS AND ABSTRACT

Title: Discrete groups, Lyapunov exponents, and Hodge theory
Speaker: Simion Filip
Speaker Info: IAS
Brief Description:
Special Note: Note special time and date
Abstract:

Families of algebraic manifolds give interesting examples of discrete subgroups of Lie groups, via their monodromy. They also lead to differential equations, such as the hypergeometric ones, whose solutions have an arithmetic significance. After providing the necessary background I will explain a connection to dynamical invariants called Lyapunov exponents, which reveals special geometric features of the discrete groups and the corresponding differential equations.