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Midwest Dynamics and Group Actions Seminar

Simultaneous Linearization of Diffeomorphisms of Isotropic Manifolds
Monday, November 16, 2020
4:00-5:00 PM
Off Campus Location
Suppose that M is a closed isotropic Riemannian manifold and that R_1,\dots ,R_m generate the isometry group of M. Let f_1,\dots ,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:
password is 076877 if needed. Speaker(s): Jonathan DeWitt (The University of Chicago)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics