Speaker: Jonathan DeWitt (The University of Chicago)
Title: Simultaneous Linearization of Diffeomorphisms of Isotropic Manifolds
Speaker's URL: https://mathematics.uchicago.edu/people/profile/jonathan-dewitt/
Abstract: Suppose that M is a closed isotropic Riemannian manifold and that R_1,...,R_m generate the isometry group of M. Let f_1,...,f_m be smooth perturbations of these isometries. We show that the f_i are simultaneously conjugate to isometries if and only if their associated uniform Bernoulli random walk has all Lyapunov exponents zero. This extends a linearization result of Dolgopyat and Krikorian from S^n to real, complex, and quaternionic projective spaces.
Zoom link: https://osu.zoom.us/j/98033590349
Meeting ID: 980 3359 0349