Geometric Aspects of Integrable Systems

讲座题目：Geometric Aspects of Integrable Systems
讲座时间 Datetime: 2025年5月19日，周一，14:00 – 15:30
地点 Venue: 中大珠海校区海琴二号A457
主持人 Host：崔潇易 副教授
报告人 Speaker: Peter Koroteev 助理研究员
单位 Affiliation: 北京雁栖湖应用数学研究院
报告摘要 Abstract:
The history of integrable systems is a story of deep mathematical structures emerging from physical problems. From classical mechanics to modern quantum theory, integrability continues to inspire new discoveries across mathematical physics.
In the late 20th and early 21st centuries, algebraic geometry and representation theory became fundamental in advancing the study of integrable systems. However, only in recent years has it become possible to fully elucidate the connections and dualities between various integrable systems in purely geometric terms.
In this talk, I will introduce a novel geometric structure—an oper—that captures the phase spaces of a large family of many-body integrable systems as well as the spectra of quantum spin chains. Our approach establishes deep connections with various areas of mathematical physics, including representation theory, cluster algebras, quantum cohomology, and even quantum hydrodynamics.-
报告人简介：
Peter Koroteev博士现任北京雁栖湖应用数学研究院（BIMSA）助理研究员。他于2012年获得明尼苏达大学博士学位，先后在Perimeter理论物理研究所、加州大学戴维斯分校和伯克利分校从事博士后研究工作。目前的研究方向为枚举代数几何、几何表示论和可积系统的交叉领域。