School of Mathematical Sciences, Shenzhen University

Liyuan Scholar Colloquium Session 149

Lecture Title: Quasi-Periodic Schrödinger Operators—A Duet of Mathematical Physics

Presenter: Professor Qi Zhou (Nankai University)

Time: October 29, 2025, 4:30 PM–5:30 PM

Venue: Room 4, Huixing Building, Yuehai Campus, Shenzhen University

Abstract: The study of quasi-periodic Schrödinger operators, an academic field rich in theoretical depth and practical applications, has long attracted significant attention due to its profound connections to quantum physics and its integration with diverse mathematical theories. This field represents an academic duet where physics and mathematics intertwine: at the physics level, its research is profoundly connected to key physical phenomena such as the integer quantum Hall effect, localization, and mobility edges; at the mathematics level, it delves into frontier problems in core areas including number theory, harmonic analysis, spectral theory, and dynamical systems. In this presentation, I will briefly introduce relevant problems in this field, elucidate its intrinsic connection to dynamical systems, and emphasize the synergistic development and deep integration of mathematics and physics within this interdisciplinary domain.

Speaker Profile: Qi Zhou, Professor at the S.S. Chern Institute of Mathematics, Nankai University, and recipient of a National Youth Talent Program award. His research spans dynamical systems and mathematical physics, with a primary focus on the spectral theory of quasi-periodic Schrödinger operators. Invited speaker at the 2024 International Congress on Mathematical Physics (ICMP). Published multiple papers in journals including Duke Math. J, Ann Sci ENS, Cambridge J Math, Math. Ann, Adv. Math, PRL, and CMP.

All faculty and students are welcome to attend!

School of Mathematical Sciences

October 21, 2025