Mathematisches Kolloquium
Am Donnerstag, 07.06.2018, um 16:30 Uhr spricht
Michael Hutchings
(University of California, Berkeley
)
im Hörsaal A027 über das Thema
Two or infinitely many Reeb orbits
Zusammenfassung: What is the minimum number of periodic orbits of a vector field on a three-manifold? In general the answer is zero. However on (closed) three-manifolds, Reeb vector fields, which are important in connection with Hamiltonian dynamics, always have at least one periodic orbit. We discuss a theorem proved with Dan Cristofaro-Gardiner and Dan Pomerleano asserting that under mild assumptions, every Reeb vector field on a (closed, connected) three-manifold has either two or infinitely many Reeb orbits.
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