Dual Lyapunov exponents, hidden partially hyperbolic structure and sharp arithmetic spectral results for type I operators
数学学科创建110周年系列报告
报告题目(Title)：Dual Lyapunov exponents, hidden partially hyperbolic structure and sharp arithmetic spectral results for type I operators
报告人(Speaker)：葛灵睿 助理教授 （北京大学）
地点(Place)：腾讯会议号: 160604572 密码: 215640
时间(Time)：2025年4 月11 日 下午3:00-4:00
邀请人(Inviter)：黎雄
报告摘要
We exploit various structures of dual cocycles and develop several new concepts and tools for the study of one-frequency quasiperiodic operators with analytic potentials. As applications we solve three long-standing arithmetic conjectures: the ten martini problem, sharp phase transition in frequency and absolute continuity of the integrated density of states for all frequencies for the entire class of type I operators.
主讲人简介
葛灵睿，北京国际数学研究中心助理教授，研究领域为动力系统，数学物理与算子谱理论，主要研究方向为拟周期薛定谔算子的谱理论。已在CPAM，GAFA，Ann ENS，AJM.,Adv.Math.，CMP等期刊发表多篇文章
