Constructing new moduli space via non-reductive geometric invariant theory
Victoria Hoskins (Radboud University Nijmegen)
Abstract: There are some moduli problems where non-reductive groups naturally appear: for example, moduli of hypersurfaces in toric varieties, which may have non-reductive automorphism groups, and moduli of certain unstable objects, such as vector bundles of fixed Harder-Narasimhan type, where there is naturally a parabolic group action. In this talk, I will give an introduction to non-reductive GIT and explain how to construct quotients when the unipotent radical is 'graded' by a copy of the multiplicative group. I will then report on joint work in progress with G. Berczi, J. Jackson and F. Kirwan on the construction of moduli spaces of sheaves of fixed Harder-Narasimhan type.
algebraic geometry
Audience: researchers in the topic
Series comments: The workshop subject will be EXPLICIT K-STABILITY AND MODULI PROBLEMS. Webpage to follow. Please, do register using the form to get a link to connect. On Monday and Thursday we will have a social (bring your own drink).
| Organizers: | Ivan Cheltsov*, Anne-Sophie Kaloghiros, Jesus Martinez Garcia* |
| *contact for this listing |