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SUMMARY:Moduli of singular curves via non-reductive GIT - Joshua Jackson\,
  Oxford
DTSTART:20190529T131500Z
DTEND:20190529T141500Z
UID:TALK121933@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Abstract: The moduli space of stable curves parametrises proje
 ctive 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 (G
 IT). In this talk I will show how to construct moduli spaces of more singu
 lar curves\, using the general perspective of 'moduli spaces of unstable o
 bjects'. The crucial technical tool is a recent generalisation of Mumford'
 s GIT to non-reductive groups\, due to Berczi\, Doran\, Hawes\, and Kirwan
 .
LOCATION:CMS MR13
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