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SUMMARY:Rank two Brill-Noether theory and the birational geometry of the m
 oduli space of curves - Farkas\, G (Humboldt)
DTSTART:20110628T153000Z
DTEND:20110628T163000Z
UID:TALK31911@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I shall discuss applications of Koszul cohomology and rank two
  Brill-Noether theory to the intersection theory of the moduli space of cu
 rves. For instance\, one can construct extremal divisors in M_g whose poin
 ts are characterized in terms of existence of certain rank two vector bund
 les. I shall then explain how these subvarieties of M_g can be thought of 
 as failure loci of an interesting prediction of Mercat in higher rank Bril
 l-Noether theory.\n
LOCATION:Seminar Room 1\, Newton Institute
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