Prof. Dr. Felix Schlenk, Université Neuchatel, Vortrag: Slow volume growth and the contact Bott-Samelson theorem
Thursday, 27.06.2013 16:30 im Raum M5
Abstract: The Bott-Samelson theorem states that a Riemannian manifold all of whose geodesics are closed
must be rather special: either M is a circle or the integral cohomology ring of M is generated by
one element. We show that this theorem is actually a "symplectic" theorem:
it holds for Reeb flows on spherizations, which are the contact-dynamical generalizations of geodesic flows. The tools in the proof are a slow version of topological entropy, and Lagrangian Floer homology.
This is joint work with Urs Frauenfelder and Clémence Labrousse.