国产自慰
海外名家讲学计划(共3次)——Hamiltonian actions in infinite dimensions II
报告人:Anton Alekseev(University of Geneva)
时间:2025-10-15 10:00-12:00
地点:智华楼109室
Abstract: Hamiltonian actions of infinite dimensional groups are of importance in field theory, and in particular in gauge theory. In this series of talks, we will consider examples of Hamiltonian actions of loop groups and of diffeomorphisms of the circle. The outline of the program is as follows.
Lecture 2:We will explain how the properties listed above generalize to Hamiltonian actions of central extensions of loop groups. This theory started around 30 years ago in the works of Meinrenken-Woodward, and by now it is almost complete. Among other things, it includes a theory of Lie group valued moment maps providing finite dimensional proxies of infinite dimensional Hamiltonian actions of loop groups.
报告人简介:Alekseev教授是数学物理、辛几何与李理论领域专家,2014年国际数学家大会邀请报告人,担任欧洲数学会杂志主编,相关工作发表在Ann. of Math, Invent. Math., Publ. Math. IHES等杂志。