RAAGs in Ham

31 January 2011
Misha Kapovich
I will explain how to embed arbitrary RAAGs (Right Angled Artin Groups) in Ham (the group of hamiltonian symplectomorphisms of the 2-sphere). The proof is combination of topology, geometry and analysis: We will start with embeddings of RAAGs in the mapping class groups of hyperbolic surfaces (topology), then will promote these embeddings to faithful hamiltonian actions on the 2-sphere (hyperbolic geometry and analysis).