动力系统研究中心：Reducibility of quasi-periodic symplectic cocycles

数学研究所

学术报告

动力系统研究中心

报告人：潘亿(奥地利ist研究所)
   

题  目：Reducibility of quasi-periodic symplectic cocycles
   

时  间：2024.08.19（星期一）10：00-11：00
   

地  点：南楼N818

摘  要：Reducibility of quasi-periodic cocyles valued in symplectic groups is related to the

 spectrum of discrete Schrödinger operators on strips. We will talk about a global reducibility 

result: given one parameter family of such cocycles, for almost every parameter, either the 

maximal Lyapunov exponent is positive, or the cocycle is almost conjugate to some precise 

model. The techniques include Kotani thoery, KAM theory and in particular study of

 hyperbolicity of renormalization operator. This is a joint work with Artur Avila and 

Raphaël Krikorian.