Thematic Seminar: Discrete groups, Lyapunov exponents, and Hodge theory

Seminar | January 23 | 4:10-5 p.m. | 740 Evans Hall

 Simion Filip, Institute for Advanced Study

 Department of Mathematics

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 ofthe discrete groups and the corresponding differential equations.