Week of August 25, 2019

Thu Aug 29, 2019
2:00pm to 3:00pm - RH 306 - Mathematical Physics
Lingrui Ge - (Nanjing University)
Quantitative almost reducibility of quasiperiodic cocycles


Abstract: In this talk, I will give a brief introduction to several popular topics in the spectral theory of quasi-periodic Schrodinger operators. I will then talk about several sharp results we get recently on these topics (especially for almost Mathieu operator). Our results are based on quantitative almost reducibility, a method originally proposed by Dinaburg and Sinai. Finally I will explain the key points in developing and refining this method to get optimal results.