210129 Marine Fontaine

January 29, 2021

Title: Real Forms of Holomorphic Hamiltonian Systems

Speaker: Marine Fontaine

By complexifying a Hamiltonian system one obtains dynamics on a holomorphic symplectic manifold. To invert this construction we present a theory of real forms which not only recovers the original system but also yields different real Hamiltonian systems which share the same complexification. In this talk I will explain the notion of real form for a symplectic manifold, more generally, for a Poisson manifold and will discuss their applications to integrable Hamiltonian systems. This is based on joint work with P. Arathoon.

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