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Virtual classes, Quot schemes and stable quotients

Oprea, D (UCSD)
Thursday 16 June 2011, 14:00-15:00

Seminar Room 1, Newton Institute


The theme of the talk is the construction of virtual fundamental classes for a Quot schemes of curves. First, I will explain the construction for smooth projective curves. Then, letting the curve vary in moduli, we obtain the space of stable quotients. Over nodal curves, a modification of the Quot scheme is necessary: a relative construction is made to keep the torsion of the quotient away from singularities. The resulting space can be used to study the Gromov-Witten theory of Grassmannians.


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