?報告人:周麒 教授
報告題目:On the Spectrum of Quasi-periodic Schrodinger operator
報告時間:2025年12月29日(周一)下午4:00
報告地點:云龍校區6號樓304報告廳
主辦單位:數學與統計學院、數學研究院、科學技術研究院
報告人簡介:
周麒,南開大學陳省身數學研究所教授,國家級青年人才項目入選者。研究領域為動力系統與數學物理,主要研究方向為擬周期薛定諤算子譜理論。受邀在2024 年度國際數學物理大會(ICMP)上做邀請報告。在Forum of Math. Pi, Duke Math. J, Ann Sci ENS, Cambridge J Math, Math. Ann, Adv. Math, PRL, CMP等期刊發表多篇論文。
報告摘要:
Quasi-periodic Schr?dinger operators possess a rich background in quantum physics. From a mathematical perspective, they are deeply connected to diverse fields such as dynamical systems, fractal geometry, harmonic analysis, and number theory. In this talk, I will survey recent advancements in the study of the spectral properties of quasi-periodic Schr?dinger operators, with a particular emphasis on methodologies rooted in dynamical systems. This work is primarily collaborative, undertaken with A. Avila, Y. Last, M. Shamis, and J. You.