Hamiltonian actions: from integrable systems to hamiltonian Lie algebroids

发布者:万宏艳发布时间:2019-10-15浏览次数:109

题目Hamiltonian actions: from integrable systems to hamiltonian Lie algebroids

报告人:Christian BlohmannMPIM, Bonn)

时间: 2019年1015, 周 下午16:00-17:30 

地点:五教5506教室

摘要:I will give a tour of the notion of hamiltonian actions from basic concepts to recent developments. In the first hour I will give a self contained review of the following topics: conserved quantities in classical mechanics; integrability; hamiltonian group actions; toric manifolds, Guillemin-Sternberg convexity theorem, Delzant reconstrucion; symplectic reduction; Bochner-Weinstein linearizaton at critical points. In the last half hour I will describe a recent generalization of hamiltonian actions to Lie algebroids and Lie groupoids, which is motivated by a study of the symmetries of General Relativity. This is joint work with Alan Weinstein.


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