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SUMMARY:Koszul cohomology and higher rank vector bundles on curves - Gavri
 l Farkas (Humboldt\, Berlin)
DTSTART:20110324T153000Z
DTEND:20110324T163000Z
UID:TALK29948@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:Some years ago\, V. Mercat proposed an interesting conjecture\
 nrelating the Clifford index of a curve C (which measures the complexity o
 f\nC in its moduli space) to stable vector bundles of higher rank on C. Ev
 en\nthough some counterexamples have been found\, Mercat's Conjecture is s
 till\nexpected to hold for a general curve\, and the failure locus of the\
 nconjecture gives rise to new extremal divisors in the moduli space of\ncu
 rves.\nI will explain the general problem and discuss a Koszul-theoretic a
 pproach\nto Mercat's prediction.
LOCATION:Isaac Newton Institute\, Cambridge
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