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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Vector bundles on the algebraic 5-sphere and punct
ured affine 3-space - Yu\, J (ETH Zurich)
DTSTART;TZID=Europe/London:20110524T113000
DTEND;TZID=Europe/London:20110524T123000
UID:TALK31465AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/31465
DESCRIPTION:The 5-dimensional complex sphere X is isomorphic t
o 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 More
l that vector bundles on a smooth affine variety a
re determined by A^{1}-homotopy classes of maps to
BGL. The fibration p is an A^{1}-homotopy weak e
quivalence but the Y above is not affine\, so it i
s natural to look for non-isomorphic vector bundle
s on Y with isomorphic pull-backs to X. We give in
teresting examples of such bundles of any rank big
ger than 1. The examples are produced from vector
bundles on the projective space P=P^2.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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