Title: Reducibility of Quasi-Periodic Symplectic Cocycles
Speaker: Yi Pan, IST Austria
Date & Time: December 3, 2024 (Tuesday), 3:30 PM
Location: Tencent Meeting: 970-200-442, Passcode: 1203
The reducibility of quasi-periodic cocycles with values in symplectic groups is linked to the spectrum of discrete Schrödinger operators on strips. This talk will present a global reducibility result: for a one-parameter family of such cocycles, for almost every parameter, either the maximal Lyapunov exponent is positive, or the cocycle is almost conjugate to a precise model. The methods involve Kotani theory, KAM theory, and particularly the study of hyperbolicity of the renormalization operator. This is joint work with Artur Avila and Raphaël Krikorian.
Dr. Yi Pan is a postdoctoral researcher at IST Austria. He obtained his PhD in Paris, France, in 2023, supervised by Artur Avila and Raphaël Krikorian. His main research interests include reducibility of quasi-periodic cocycles, hyperbolicity of renormalization operators, and KAM theory.
