Simultaneous Linearization of Diffeomorphisms of Isotropic Manifolds

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April 8, 2021
3:00PM - 4:00PM
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Online: Zoom info below

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Add to Calendar 2021-04-08 15:00:00 2021-04-08 16:00:00 Simultaneous Linearization of Diffeomorphisms of Isotropic Manifolds 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 Password: Mixing Online: Zoom info below Department of Mathematics math@osu.edu America/New_York public
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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

Password: Mixing

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