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SUMMARY:Vector bundles on the algebraic 5-sphere and punctured affine 3-sp
 ace - Yu\, J (ETH Zurich)
DTSTART:20110524T103000Z
DTEND:20110524T113000Z
UID:TALK31465@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The 5-dimensional complex sphere X is isomorphic to SL_3/S_2\,
   which admits a fibration p: X-->Y to the 3-dimensional punctured affine 
 space Y=C^{3}{0} with C^{2} fibres.  It was shown by Fabien Morel that vec
 tor bundles on a smooth affine variety are determined by A^{1}-homotopy cl
 asses of maps to BGL.  The fibration p is an A^{1}-homotopy weak equivalen
 ce but the Y above is not affine\, so it is natural to look for non-isomor
 phic vector bundles on Y with isomorphic pull-backs to X. We give interest
 ing examples of such bundles of any rank bigger than 1. The examples are p
 roduced from vector bundles on the projective space P=P^2.\n
LOCATION:Seminar Room 1\, Newton Institute
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