The course will concentrate on the geometry of the group of Hamiltonian diffeomorphisms introduced by Hofer in the early 1990's and its relations to various topics in symplectic geometry such as capacities, Lagrangian submanifolds, holomorphic curves, as well as recent algebraic structures on the group of Hamiltonian diffeomorphisms such as quasi-morphisms.
Books: * L. Polterovich: "The geometry of the group of symplectic diffeomorphisms" * H. Hofer & E. Zehnder: "Symplectic invariants and Hamiltonian dynamics"
Prerequisites / Notice
Prerequisites. Good knowledge of undergraduate mathematics (analysis, complex functions, topology, and differential geometry). Some knowledge of elementary algebraic topology would be useful.
Performance assessment information (valid until the course unit is held again)