Session S35 - Moduli Spaces in Algebraic Geometry and Applications

Thursday, July 15, 12:00 ~ 12:40 UTC-3

Moduli spaces of unstable sheaves via non-reductive GIT

Victoria Hoskins

Radboud University Nijmegen, The Netherlands   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Reductive GIT has enabled the construction of many important moduli spaces and gives rise to natural notions of stability. However, non-reductive groups naturally appear in certain moduli problems (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 take quotients by parabolic groups. Finally I will explain how this can be applied to construct moduli spaces of unstable objects (and in particular, moduli spaces of unstable sheaves).

Joint work with G. Berczi (Aarhus University), J. Jackson (Imperial College London) and F. Kirwan (University of Oxford).

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