September 17 2014 Oliver Fabert
Hamiltonian dynamics and complex geometry
Symplectic geometry is the geometry underlying Hamiltonian dynamics. While symplectic structures are naturally connected to complex structures via Riemannian metrics, in my talk I will present a surprising direct correspondence between Hamiltonian dynamics and complex geometry originating from topological string theory. Among other things, using action selectors, it will allow us to assign a (symplectic) energy to holomorphic functions on certain complex affine manifolds.