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Simultaneous Linearization of Diffeomorphisms of Isotropic Manifolds

The Golden Hourglass by Craig Schaffer
April 8, 2021
3:00 pm - 4:00 pm
Online: Zoom info below


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

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