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SUMMARY:Geometric Invariant Theory and Moduli Problems - Joshua Jackson (O
 xford)
DTSTART:20181019T140000Z
DTEND:20181019T150000Z
UID:TALK111073@talks.cam.ac.uk
CONTACT:Ben Morley
DESCRIPTION:Geometric Invariant Theory\, which one may characterise as 'th
 e art of quotienting algebraic varieties by group actions'\, has long\nbee
 n a central tool in algebraic geometry. In particular\, it is of tremendou
 s use in the construction and study of moduli spaces:\nperhaps most notabl
 y the Deligne-Mumford moduli space of stable curves\, and the moduli space
  of semistable coherent sheaves\nover a projective scheme. Less well known
 \, however\, is the recent generalisation of GIT to actions of non-reducti
 ve groups\, due to\nBerczi-Doran-Hawes-Kirwan. I will attempt to explain w
 hy non-reductive GIT is much harder\, what results are known about it\, an
 d\nsome of the cool things we can do with it- including joint work general
 ising the two moduli spaces mentioned above.
LOCATION:MR13
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