Janko Latschev : Nonexact Liouville embeddings and symplectic homology

Abstract: Over the last decade, Lagrangian Floer homology and Fukaya categories have led to significant progress in our understanding of Lagrangian submanifolds, especially in cotangent bundles. And yet, recent results suggest that even the simplest symplectic manifolds contain plenty of "exotic" Lagrangian tori, and the classification up to Hamiltonian isotopy remains quite mysterious. We will review various examples (some of which have appeared in Renato Vianna's thesis).