?報(bào)告人:周麒 教授
報(bào)告題目:On the Spectrum of Quasi-periodic Schrodinger operator
報(bào)告時(shí)間:2025年12月29日(周一)下午4:00
報(bào)告地點(diǎn):云龍校區(qū)6號(hào)樓304報(bào)告廳
主辦單位:數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院
報(bào)告人簡(jiǎn)介:
周麒,南開大學(xué)陳省身數(shù)學(xué)研究所教授,國(guó)家級(jí)青年人才項(xiàng)目入選者。研究領(lǐng)域?yàn)閯?dòng)力系統(tǒng)與數(shù)學(xué)物理,主要研究方向?yàn)閿M周期薛定諤算子譜理論。受邀在2024 年度國(guó)際數(shù)學(xué)物理大會(huì)(ICMP)上做邀請(qǐng)報(bào)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(fā)表多篇論文。
報(bào)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.