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Sino-Russian Mathematics Center-JLU Colloquium(2023-010)—Contact geometry via homogeneous symplectic geometry with applications

发表于: 2023-05-20   点击: 

报告题目:Contact geometry via homogeneous symplectic geometry with applications

报 告 人:Katarzyna Grabowska

所在单位:University of Warsaw, Department of Physics

报告时间:2023年5月24日 18:00-20:00

报告地点:ZOOM Id:904 645 6677,Password:2023

会议链接:https://us02web.zoom.us/j/9046456677?pwd=UHErd3RJVzFsNzNnczFZYm9uYlV6QT09


报告摘要: During the talk she will present the novel approach to contact geometry according to which contact structures are not `odd-dimensional generalizations’ of symplectic geometry but rather particular examples of symplectic geometry, namely homogeneous symplectic principal bundles (with an action of the multiplicative group of non-zero reals). In this setting we are able to construct contact Hamiltonian vector fields even if the global contact form does not exist on the contact manifold in question. The homogeneous symplectic language is also suitable for contact Hamilton-Jacobi theory and contact reductions.


报告人简介:Katarzyna Grabowska works in the Department of Mathematical Methods in Physics at the Faculty of Physics. She is interested in differential geometric methods in physics and differential geometry in general.