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Brady Ali Medina, Department of Pure Mathematics, University of Waterloo

"Classification of Poisson Surfaces"

Complex Poisson surfaces have an important role in the theory of algebraically completely integrable Hamiltonian systems. It is known that a projective Poisson surface can be abelian or a K3 or a ruled surface. However, not every ruled surface admits a Poisson structure. In this talk, I am going to present a theorem that states the conditions that a minimal ruled surface must satisfy to admit a Poisson structure.