MATH Seminar

Title: Microlocal Methods in Hyperbolic Dynamics
Seminar: Analysis and Differential Geometry
Speaker: Guangqiu Liang of Emory University
Contact: Maja Taskovic, maja.taskovic@emory.edu
Date: 2023-09-01 at 11:00AM
Venue: Atwood 240
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Abstract: Microlocal analysis, a toolbox in linear PDE theory, has brought some recent advancements in hyperbolic dynamics, namely the study of chaotic dynamical systems. Specifically, it provides an appropriate functional-analytic framework on which the dynamics exhibit nice spectral properties. In this talk, I will introduce the dynamical zeta function for smooth Anosov flows on compact manifolds, describe its meromorphic continuation using microlocal methods, and mention some work on extracting topological information of the underlying dynamical system from the zeta function's behavior at zero.