Title: Simultaneous Linearization of Diffeomorphisms of Isotropic Manifolds
Speaker: Jonathan DeWitt – The University of Chicago
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
Recorded talk: https://osu.zoom.us/rec/play/JjhZEG2ebLvvPOuNY89RaqBxiOLNqabVfSbbvaymyAjAjed4F9Po-6ta7hsUClSnRLRfzvmuGAQ3FWA.kllkqpyJemaIrY1W?continueMode=true&_x_zm_rtaid=BC-VSS-jTo6_ENY8NMDZJw.1617934286899.261230408b5271ecf9eadf5e3924f1e2&_x_zm_rhtaid=413