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SUMMARY:Koszul cohomology and higher rank vector bundles on curves - Farka
 s\, G (Humboldt)
DTSTART:20110324T153000Z
DTEND:20110324T163000Z
UID:TALK30382@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Some years ago V. Mercat proposed an interesting conjecture re
 lating the Clifford index of a curve C (which measures the complexity of C
  in its moduli space) to stable vector bundles of higher rank on C. Even t
 hough some counterexamples have been found\, Mercat's Conjecture is still 
 expected to hold for a general curve\, and the failure locus of the conjec
 ture gives rise to new extremal divisors in the moduli space of curves.\nI
  will explain the general problem and discuss a Koszul-theoretic approach 
 to Mercat's prediction.\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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