報告題目：Contact geometry via homogeneous symplectic geometry with applications
報 告 人：Katarzyna Grabowska
所在單位：University of Warsaw, Department of Physics
報告時間：2023年5月24日 18:00-20:00
報告地點：ZOOM Id：904 645 6677，Password：2023
會議鍊接：https://us02web.zoom.us/j/9046456677?pwd=UHErd3RJVzFsNzNnczFZYm9uYlV6QT09
報告摘要: 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.
報告人簡介：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.
