Complexified Hamiltonian symplectomorphisms and solutions of the homegeneous complex Monge-Ampere equation

Room 1.22
Friday, 23 September, 2016 - 14:30

The geodesics for the Mabuchi metric on the space of Kaehler metrics on a manifold correspond to solutions of the homogeneous complex Monge-Ampere (HCMA) equation. We will describe a method for reducing the Cauchy problem for the HCMA equation with analytic initial data to finding a related Hamiltonian flow followed by a "complexification". Examples and applications will be discussed. 

Work in collaboration with J.P. Nunes and T. Reis

Speaker: 

José Mourão

Institution: 

Instituto Superior Técnico / CAMGSD
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