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A Poincaré-Birkhoff Theorem for 3-Dimensional Energy Levels
24 Nov
24. November 2022
Oberseminar Differentialgeometrie

A Poincaré-Birkhoff Theorem for 3-Dimensional Energy Levels

Abstract: In subcritical energy levels of the planar circular restricted 3-body problem (PCR3BP) Poincaré encountered special periodic orbits that span an annular global section for the flow. This motivated the formulation of what is known today as the Poincaré-Birkhoff theorem, from where Poincaré derived beautiful applications to the PCR3BP. In this talk I would like to explain how the action functional from classical mechanics can be used to prove analogous statements for more general systems. This is based on joint work with Al Momin and Pedro Salomão (NYU-Shanghai).


Prof. Dr. Umberto Hryniewicz (RWTH Aachen)


Institut für Differentialgeometrie


24. November 2022
15:30 Uhr - 16:45 Uhr


Geb.: 3110
Raum: 016
Callinstraße 23
30167 Hannover
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