国产自慰
海外名家讲学计划（共3次）——Hamiltonian actions in infinite dimensions I
报告人：报告人：Anton Alekseev（University of Geneva）
时间：2025-10-13 10:00-12:00
地点：智华楼王选报告厅-101
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 1: We will recall the main facts about Hamiltonian actions of compact groups on symplectic manifolds. These include the Marsden-Weinstein reduction, the convexity properties due to Atiyah and Guillemin-Sternberg (abelian case) and Kirwan, the Duistermaat-Heckman localization, the Kirwan’s surjectivity theorem, and the Guillemin-Sternberg quantization commutes with reduction (or [Q,R]=0) principle.
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。
