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SUMMARY:Moduli of hypersurfaces in weighted projective space
DTSTART;VALUE=DATE-TIME:20190124T133000Z
DTEND;VALUE=DATE-TIME:20190124T143000Z
DTSTAMP;VALUE=DATE-TIME:20190216T144334Z
UID:indico-event-8837@ictp.it
DESCRIPTION:\n Abstract: The moduli space of smooth hypersurfaces in proje
ctive space was constructed by Mumford in the 60’s using his newly devel
oped classical (a.k.a. reductive) Geometric Invariant Theory. I wish to ge
neralise this construction to hypersurfaces in weighted projective space (
or more generally orbifold toric varieties). The automorphism group of a t
oric variety is in general non-reductive and I will use new results in non
-reductive GIT\, developed by F. Kirwan et al.\, to construct a moduli spa
ce of quasismooth hypersurfaces. I will give geometric characterisations o
f notions of stability arising from non-reductive GIT.\n\nhttp://indico.ic
tp.it/event/8837/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://indico.ictp.it/event/8837/
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