"Complexity of Reeb flows via Floer homology"
 
The topological entropy of a self-map of a compact metric space is a
numerical invariant that gives a measure for the orbit complexity of
the mapping.  Reeb flows on spherisations are a natural
contact-geometric generalisation of geodesic flows.  I will sketch how
Lagrangian Floer homology can be used to prove positivity of
topological entropy of all Reeb flows over "most" closed manifolds.

The talk is based on joint work with Urs Frauenfelder, Leonardo
Macarini and Clémence Labrousse.