Compactifying Jacobians

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• Thibault Poiret, University of Cambridge
• Friday 14 October 2022, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

To any smooth, compact curve over a field, we may associate its Jacobian. It is a smooth and compact group variety, which “depends continuously on the curve”, and a very important object in AG/number theory. Limits of smooth curves are not always smooth: they may be nodal, i.e. have some points at which they look like two lines intersecting transversally. We will talk about how to get Jacobians for nodal curves which are “almost as nice” as those of smooth curves.

This talk is part of the Junior Geometry Seminar series.

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