ICTP Mathematics Seminar - Thursday 24 January, at 14:30 (Dominic BUNNETT)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2019


Thursday 24 January, at 14:30 hrs.


Dominic Bunnett (FU Berlin)


Title: Moduli of hypersurfaces in weighted projective space


Abstract: The moduli space of smooth hypersurfaces in projective space 
was constructed by Mumford in the 60’s using his newly developed 
classical (a.k.a. reductive) Geometric Invariant Theory. I wish to 
generalise this construction to hypersurfaces in weighted projective 
space (or more generally orbifold toric varieties). The automorphism 
group of a toric 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 space of quasismooth hypersurfaces. I will give geometric
characterisations of notions of stability arising from non-reductive GIT.


VENUE:  Stasi Seminar Room (ICTP Leonardo da Vinci Building, first floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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