学术报告：2020年07月03日10:00-11:00，南京大学-王奕倩

报告人

王奕倩

单位

南京大学

报告题目

On quasi-periodic Schrodinger   operators with cos-type potentials

报告时间

7月3日

10:00-11：00

地点

腾讯会议 ID：709 751 635 

邀请人

张东峰

报告摘要

Quasiperiodic Schrodinger operators (QPSO) is the mathematical   model for the conductivity on quasi-crystals which was found by a Nobel prize   winner.Several great mathematicians   have been captivated by this field.In   last decades, various methods have been developed in the study of   one-dimensional analytic QPSO, which led to a lot of deep result. However,   these methods depend heavily on analytic conditions and are difficult to be   extended to smooth situations. Recently we obtained a series of sharp results   for Sinai's model (QPSO with a C^2 cos-type   potential and a large coupling) . More precisely, they include a sharp   estimate on the regularity of Lyapunov exponents (which is even new for   Almost Mathieu operator with a cosine potential), the dry version of Cantor   spectrum, homogenous spectrum gap and absolute continuity of IDS.

报告人简介

王奕倩，南京大学教授，博士生导师.1999年在北京大学数学系获博士学位.主要研究方向：Hamiltonian动力系统与KAM理论；耦合混沌动力系统中的同步性态；拟周期薛定谔cocycle动力系统.共主持国家自然科学基金面上项目3项，作为主要成员参加国家973重大项目1项；在Duke.Math.J.,Comm.   Math. Phy., J.Func.Anal. J.Differential Equations等重要期刊发表多篇论文，结果得到菲尔兹奖获得者A.Avila, ICM报告人S.Jitomirskaya和M.Schlag的肯定，被Invent.Math., J.Eur. Math.   Soc.,Comm. Math. Phys.等一流杂志引用和好评。