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Universität Augsburg
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Universität Augsburg
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M. Sc. Leonardo Masci
RWTH Aachen
spricht am
Montag, 15. Januar 2024
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16 Uhr s.t.
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| The celebrated Poincaré-Birkhoff theorem on area-preserving maps of the annulus is of fundamental importance in the fields of Hamiltonian dynamics and symplectic topology. In this talk I will formulate a generalization of the Poincaré-Birkhoff theorem, which applies to asymptotically linear Hamiltonian systems on linear phase space. In order to explain some elements of the proof, I will explore the main difficulties in setting up a Floer homology for this class of Hamiltonian systems, and develop two techniques which can be combined to relate the filtered Floer homologies of different iterates of the same asymptotically linear Hamiltonian system. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Urs Frauenfelder |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).