一、报告题目：Commutative Poisson algebras from deformations of noncommutative algebras and non-Abelian Hamiltonian systems
二、报告人：Alexander Mikhailov 教授
三、时 间：2025年4月17日（周四）15:30-16:30
四、地 点：闻理园A4-305
报告摘要：By a well-known procedure, usually referred to as ``taking the classical limit'', quantum systems become classical systems, equipped with a Hamiltonian structure (symplectic or Poisson). From the deformation quantisation theory we know that a formal deformation of a commutative algebra leads to a Poisson bracket and that the classical limit of a derivation on the deformation leads to a Hamiltonian derivation defined by the Poisson bracket. In this talk I present a generalisation of it for formal deformations of an arbitrary noncommutative associative algebra.
报告人简介：Alexander V.Mikhailov教授，英国利兹大学数学学院教授。从事可积系统的研究，特别是可积系统、非对易可积系统分类和量化问题。1978年在朗道理论物理研究所获得理论和数学物理博士学位。剑桥大学克莱尔·霍尔学院终身院士。数学物理和可积系统领域的国际著名专家，组织了多个国际会议和研讨会，在国际期刊上Comm. Math. Phys., Nonlinearity, Found. Comput. Math., Inverse Problems, J. Nonlinear Sci. 等杂志发表了一系列具有原创性的高水平成果，其论文引用次数共计超过7500次。
欢迎大家参加！联系人：施英、杨云青
