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SUMMARY:Virtual classes\, Quot schemes and stable quotients - Oprea\, D (U
 CSD)
DTSTART:20110616T130000Z
DTEND:20110616T140000Z
UID:TALK31753@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The theme of the talk is the construction of virtual fundament
 al classes for a Quot schemes of curves. First\, I will explain the constr
 uction for smooth projective curves. Then\, letting the curve vary in modu
 li\, we obtain the space of stable quotients. Over nodal curves\, a modifi
 cation of the Quot scheme is necessary: a relative construction is made to
  keep the torsion of the quotient away from singularities. The resulting s
 pace can be used to study the Gromov-Witten theory of Grassmannians.\n
LOCATION:Seminar Room 1\, Newton Institute
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