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Quot schemes of surfaces

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If you have a question about this talk, please contact Dhruv Ranganathan.

The Quot scheme of length l quotients of a vector bundle E on a smooth surface S can be thought of as a cross of the Hilbert scheme of points of S (E=O) and the projectivisation of E (l=1). This scheme is singular when l and the rank of E are at least 2, and very little is known about it. I will describe two fundamental results concerning its intersection theory, and their applications to the study of tautological integrals.

This talk is part of the Algebraic Geometry Seminar series.

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