报告题目：Livsic type theorem for diffeomorphism cocycles

报告人：刘小川   IMPA Post-Doctoral Researcher

报告时间：2016年5月20日（周五）10:00-11:00

 

报告地点：维格堂319




 

摘要

In this work, we show that, with appropriate topology, the periodic orbit obstruction vanishing condition still implies the existence of solution of the cohomological equation for this general cocycles. This result is a generalization of classical Livsic theorem in the 70‘s. The key idea turns out to be approximation of Lyapunov exponents of the system using exponents along orbit segments, based on some kind of pseudo-orbit shadowing technique. This is joint work with Artur Avila and Alejandro Kocsard