CC Geometry and Lyapunov Spectrum Rigidity, Part II

Meeting Details

For more information about this meeting, contact Donna Cepullio, Margaret Brown, Ignacio Correa Duran.

Speaker: Alp Uzman,

Abstract: This is the second part of my talk on 04/14 (https://math-cal.cloud.science.psu.edu/events/55337). We'll first discuss the foliated CC tangent cone structure theorem and state a Lyapunov spectrum arithmeticity theorem for diffeomorphisms which preserve a foliation with CC leaves and which also are polarized with respect to the leafwise polarizations. Then we'll focus on the main dynamical ingredient in the proof, namely a proposition from Kalinin's "Livsic Theorem for matrix cocycles" (https://annals.math.princeton.edu/2011/173-2/p11), that allows one to approximate the Lyapunov exponents coming from Oseledets Theorem by Lyapunov exponents at periodic points provided that the bipolarized diffeomorphism satisfies certain dynamically natural properties.

---

Room Reservation Information

Room Number: 106 McAllister

Date: 04/28/2022

Time: 6:00pm - 7:00pm