Quot schemes of surfaces
- đ¤ Speaker: Samuel Stark, Imperial College London
- đ Date & Time: Wednesday 09 March 2022, 14:15 - 15:15
- đ Venue: CMS MR13
Abstract
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.
Series This talk is part of the Algebraic Geometry Seminar series.
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Wednesday 09 March 2022, 14:15-15:15