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Universität Augsburg
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Universität Augsburg
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M. Sc. Elena Isasi Theus
Universitat Politècnica de Catalunya
spricht am
Montag, 6. Juli 2026
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16 Uhr s.t.
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| We give a presentation of the theory of persistence modules associated to Hamiltonian Floer theory, concentrating on the case of symplectically aspherical manifolds, and presenting a proof of the nondegeneracy of the Hofer metric and its connection to a stability theorem for Floer persistent homology, as well as describe the invariant known as boundary depth. We also compare this aspherical theory to the symplectically monotone case and discuss the relevance of the asphericity assumption. In order to do this, we first describe the mathematical theory of Hamiltonian dynamics, with special attention paid to the development of Floer homology from Morse homology, and briefly introduce the ideas behind persistent homology and its usefulness. |
| Hierzu ergeht herzliche Einladung. |
| Emilia Konrad |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).