Projective moduli of semistable hypersurfaces

26.01.2023 09:45 - 11:15

Dominic Bunnett (TU Berlin)

We explore different projective moduli spaces of semistable hypersurfaces in toric varieties for differing stability conditions.
In particular we look at K-stability and (Non-reductive) Geometric Invariant Theory, in the latter we translate the problem to one of polytopes. In a few cases of hypersurfaces in weighted projective space we compute the cohomology of the corresponding moduli space. 

This is based on joint work with Joshua Jackson.

Organiser:

A. Mellit, B. Szendroi, V. Vertesi

Location:

BZ 2, 2. OG., OMP 1