Poisson structures on Fano manifolds

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• Brent Pym (University of Oxford)
• Wednesday 18 May 2016, 14:15-15:15
• CMS MR14.

If you have a question about this talk, please contact Dr. J Ross.

A Poisson variety is an algebraic variety equipped with a Poisson bracket on its regular functions. Such a variety carries a natural foliation by symplectic submanifolds. For projective spaces and other Fano manifolds, this foliation is typically highly singular. For example, a conjecture of Bondal predicts that the dimensions of the singular strata are much greater than one would expect from the classical theory of degeneracy loci of bundle maps. I will describe some progress on this conjecture, and related results concerning the classification of low-dimensional Poisson varieties, where elliptic curves feature prominently.

This talk is part of the Algebraic Geometry Seminar series.

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