18–22 Jul 2022
Department of Mathematics, University of Pisa
Europe/Rome timezone

An overview of Non-Reductive Geometric Invariant Theory and its applications

19 Jul 2022, 16:00
1h
Aula Magna (Department of Mathematics, University of Pisa)

Aula Magna

Department of Mathematics, University of Pisa

Speaker

Eloise Hamilton (University of Cambridge)

Description

Geometric Invariant Theory (GIT) is a powerful theory for constructing and studying the geometry of moduli spaces in algebraic geometry. In this talk I will give an overview of a recent generalisation of GIT called Non-Reductive GIT, and explain how it can be used to construct and study the geometry of new moduli spaces. These include moduli spaces of unstable objects (for example unstable Higgs/vector bundles), hypersurfaces in weighted projective space, $k$-jets of curves in $\mathbb{C}^n$ and curve singularities.

Primary author

Eloise Hamilton (University of Cambridge)

Presentation materials

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