Speaker: Matthias Meiwes (Tel Aviv University)
Abstract: Given a flow on a 3-dimensional closed manifold and a link of periodic orbits, we may consider all periodic orbits of the flow that are unique in their homotopy class in the link complement. In my talk, I will explain a result that says that for a $C^{1+\epsilon}$ flow, a sequence of such links can be found for which the exponential growth rates of the orbits with the above uniqueness property approximate the topological entropy of the flow. This result has some applications in the context of the dynamics of Hamiltonian diffeomorphisms and the dynamics of Reeb flows\slash geodesic flows. In particular, it is an important ingredient in the proof of a result (jointly obtained with M. Alves, L. Dahinden, and A. Pirnapasov) that generically the topological entropy of 3D Reeb flows is lower semi-continuous with respect to the $C^0$ distance on contact forms.
Time: 2025-08-12 14:00:00
Location: Online
Zoom Meeting ID: 844 0594 7424 (Passcode: 076895)
Introduction to the Speaker: Dr. Matthias Meiwes is a postdoctoral scholar at Tel Aviv University working on Dynamical Systems and Symplectic Geometry. Previously, he completed his PhD at the University of Heidelberg under the supervision of Professor Peter Albers. His papers were published in several high-ranking journal, including “Commentarii Mathematici Helvetici”, “Compositio Mathematica” and “Annales Henri Lebesgue”.
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