Moduli of singular curves via non-reductive GIT

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• Joshua Jackson, Oxford
• Wednesday 29 May 2019, 14:15-15:15
• CMS MR13.

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

Abstract: The moduli space of stable curves parametrises projective curves (of fixed genus) with at-worst-nodal singularities and finite automorphism group, and its construction as a projective variety was one of the great initial successes of Mumford’s Geometric Invariant Theory (GIT). In this talk I will show how to construct moduli spaces of more singular curves, using the general perspective of ‘moduli spaces of unstable objects’. The crucial technical tool is a recent generalisation of Mumford’s GIT to non-reductive groups, due to Berczi, Doran, Hawes, and Kirwan.

This talk is part of the Algebraic Geometry Seminar series.

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