Title：Contact geometry via homogeneous symplectic geometry with applications
Reporter：Katarzyna Grabowska
Work Unit：University of Warsaw, Department of Physics
Time：2023/05/24 18:00-20:00
Address：ZOOM Id：904 645 6677，Password：2023
Link：https://us02web.zoom.us/j/9046456677?pwd=UHErd3RJVzFsNzNnczFZYm9uYlV6QT09
Summary of the report: 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.
Introduction of the Reporter: 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.
