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Universität Augsburg
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Universität Augsburg
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Professor Dr. Felix Schlenk
Universität Neuenburg (Schweiz)
spricht am
Montag, 27. November 2017
um
10:00 Uhr
im
Raum 3008 (L1)
über das Thema:
| Abstract: |
| An action selector associates to every Hamiltonian function the action of one of its periodic orbits, in a continuous way. The mere existence of an action selector has many consequences in symplectic dynamics and geometry (such as Gromov's non-squeezing theorem and the existence of closed orbits on energy surfaces of contact type). The first selectors were constructed for the standard symplectic vector space R^2n by Viterbo and Hofer-Zehnder, and then for (essentially) all symplectic manifolds by means of Floer homology (Schwarz, Oh, Usher). I will describe a more elementary construction of an action selector for manifolds $(M,\omega)$ with $[\omega] | \pi_2(M) = 0$, that uses only Gromov compactness. This is joint work with Alberto Abbondandolo et Carsten Haug. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Urs Frauenfelder |