报告时间：2025年9月11日 上午10:30开始
报 告 人：Alexander Mikhailov教授，英国利兹大学
报告地点：9-113
报告题目：On Quantum Solutions to the Zamolodchikov Tetrahedron Equation
报告摘要:We extend the quantisation ideal approach to the setting of discrete dynamics. Our aim is to derive quantum solutions to the Zamolodchikov tetrahedron equation, starting from well-known solutions defined on a free associative algebra. We have identified four distinct quantum algebras corresponding to quadratic triangular quantisation ideals of generic type. The classical limit of these quantum algebras yields Poisson structures in the commutative case. We explore quantum and classical integrable systems that are invariant under these tetrahedral maps.
报告人简介：Alexander V. Mikhailov is a Professor in the School of Mathematics at the University of Leeds, UK. An internationally recognized expert in mathematical physics, his research focuses on integrable systems, including their classification and quantization, as well as non-commutative integrable systems.
He received his PhD (1978) and DSc (1987) in theoretical and mathematical physics from the Landau Institute for Theoretical Physics. Professor Mikhailov is a Life Fellow at Clare Hall, University of Cambridge.
He has organized multiple international conferences, workshops, and research programmes and has published influential work in leading journals such as Communications in Mathematical Physics, Nonlinearity, Functional Analysis, and Russian Mathematical Surveys. He currently serves as the Chief Editor of the Springer journal Mathematical Physics, Analysis and Geometry.
Alexander V. Mikhailov是英国利兹大学数学学院的教授。他是国际公认的数学物理专家，研究重点是可积系统，包括其分类和量子化，以及非交换可积系统。他于1978年获得理论与数学物理博士学位，1987年获得理论物理科学博士学位，均来自朗道理论物理研究所。Mikhailov教授是剑桥大学克莱尔霍尔的终身院士。他组织了多次国际会议、研讨会和研究项目，并在《数学物理通讯》、《非线性》、《泛函分析》和《俄罗斯数学调查》等权威期刊上发表了有影响力的研究成果。目前，他担任Springer期刊《数学物理、分析与几何》的主编。
