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)