Tuesday, October 30, 2018
4:00 PM - 5:00 PM
Linde Hall 310

Mathematics Colloquium

Discrete groups, Lyapunov exponents, and Hodge theory
Simion Filip, Department of Mathematics, Harvard University ,

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.

For more information, please contact Mathematics Department by phone at 4335 or by email at mathinfo@caltech.edu.