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CATEGORIES:Junior Geometry Seminar
SUMMARY:Geometric Invariant Theory and Moduli Problems - J
oshua Jackson (Oxford)
DTSTART;TZID=Europe/London:20181019T150000
DTEND;TZID=Europe/London:20181019T160000
UID:TALK111073AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/111073
DESCRIPTION:Geometric Invariant Theory\, which one may charact
erise as 'the art of quotienting algebraic varieti
es by group actions'\, has long\nbeen a central to
ol in algebraic geometry. In particular\, it is of
tremendous use in the construction and study of m
oduli spaces:\nperhaps most notably the Deligne-Mu
mford moduli space of stable curves\, and the modu
li space of semistable coherent sheaves\nover a pr
ojective scheme. Less well known\, however\, is th
e recent generalisation of GIT to actions of non-r
eductive groups\, due to\nBerczi-Doran-Hawes-Kirwa
n. I will attempt to explain why non-reductive GIT
is much harder\, what results are known about it\
, and\nsome of the cool things we can do with it-
including joint work generalising the two moduli s
paces mentioned above.
LOCATION:MR13
CONTACT:Ben Morley
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