东南大学数学学院邀请专家申请表
报告人 | 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。 | |||
