Thin monodromy and Lyapunov exponents, via Hodge theory

Analysis Seminar
Topic:Thin monodromy and Lyapunov exponents, via Hodge theory
Speaker:Simion Filip
Affiliation:Harvard University
Date:Wednesday, November 15
Time/Room:11:00am - 12:00pm/S-101
Video Link:https://video.ias.edu/analysis/2017/1115-SimionFilip

I will discuss a connection between monodromy groups of variations of Hodge structure and the global behavior of the associated period map. The large-scale information in the period map is contained in the Lyapunov exponents, which are invariants coming from dynamical systems. In some cases when the monodromy group is thin, i.e. infinite-index in the relevant arithmetic lattice, one can construct new geometric objects that cannot exist in the arithmetic case.