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SUMMARY:Poisson structures on Fano manifolds - Brent Pym (University of Ox
 ford)
DTSTART:20160518T131500Z
DTEND:20160518T141500Z
UID:TALK65703@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:A Poisson variety is an algebraic variety equipped with a Pois
 son bracket on its regular functions.  Such a variety carries a natural fo
 liation 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 a
 re much greater than one would expect from the classical theory of degener
 acy loci of bundle maps.  I will describe some progress on this conjecture
 \, and related results concerning the classification of low-dimensional Po
 isson varieties\, where elliptic curves feature prominently.
LOCATION:CMS MR14
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