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Universität Augsburg
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Universität Augsburg
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Professor Dr. Oliver Fabert
Vrije Universiteit Amsterdam
spricht am
Dienstag, 13. August 2024
um
14:45 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
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Floer theory is used to prove rigidity results about solutions of the Hamilton equations on symplectic manifolds, whose basic examples are geodesics on Riemannian manifolds. Minimal surfaces are the two-dimensional generalizations of geodesics. In my talk I will introduce the corresponding generalizations of symplectic manifolds and real-valued Hamiltonian systems which allow for a generalisation of Hamiltonian Floer theory. Further I will discuss why the standard polysymplectic approach needs to be modified for Floer theory to exist and I will illustrate how holomorphic Hamiltonian systems and the holomorphic Fukaya category of Kontsevich-Soibelman are actually part of the modified geometric framework.
For further information, please have a look at our homepage. |
| Hierzu ergeht herzliche Einladung. |
| PD Dr. Lei Zhao |