GPRT Seminar: Simion Filip (Harvard), Hypergeometric Equations and Lyapunov Exponents
Most integrals of algebraic differential forms cannot be computed explicitly, however when they depend on a parameter the integrals satisfy explicit differential equations and this naturally leads to variations of Hodge structures. Hypergeometric equations are some of the simplest non-trivial examples and I will use them as an example to explain some relations between Hodge theory and invariants coming from dynamical systems called Lyapunov exponents. The necessary background will be provided.
Thursday, November 30, 2017 at 2:50pm to 3:50pm
509 Lake Hall