Seminar

Compact invariant sets do not imply periodic orbits - examples of geodesic, Reeb and Hamiltonian flows

Symplectic geometry and topology

19 November 14:00 - 15:00

Nena-Maria Röttgen - Westfälische Wilhelms-Universität Münster

Examples of non vanishing vector fields on closed manifolds without periodic orbits are mainly constructed by using Wilson plugs. I will introduce the definition of a plug and explain how it can be used to find examples of such vector fields. For Reeb flows plugs can not exist but I will present examples of semi contact plugs in dimension five and higher, compare their dynamics with the 3-dimensional situation, show similar results for the geodesic flow and discuss relations to the Weinstein conjecture. Finally I will apply the semi contact plug construction to build Hamiltonian plugs.
Organizers
Tobias Ekholm,
Uppsala University
Yakov Eliashberg
Stanford University
Lenhard Ng
Duke University
Ivan Smith
University of Cambridge

Program
Contact

Tobias Ekholm

tobias.ekholm@math.uu.se

Other
information

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