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Hamiltonian dynamics and complex geometry

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.