Dynamical Systems Seminar

Title: Lyapunov exponents and their connections to Hodge theory
Speaker: Simion Filip
Speaker Info: Harvard University
Brief Description:
Special Note:

Given a dynamical system and a matrix-valued function, one can multiply the matrices along the orbit. For the resulting product matrix, the asymptotic behavior of eigenvalues is governed by the Lyapunov exponents. Although difficult to compute, in certain geometric situations (coming from families of algebraic varieties) there are some formulas for computing, or at least estimating from below the Lyapunov exponents. I will explain the mechanism behind this, as well as some applications of these dynamical ideas to algebraic geometry.
Date: Tuesday, March 14, 2017
Time: 4:00pm
Where: Lunt 107
Contact Person: Laura DeMarco
Contact email: demarco@northwestern.edu
Contact Phone:
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