“Non-Reductive GIT and Moduli Spaces of Unstable Objects”
Martedì 3 Dicembre 2024, ore 17:00 - Aula 2BC30 - George Cooper (Postdoc Scuola Normale Superiore di Pisa)
Abstract
Mumford’s Geometric Invariant Theory (GIT) is a powerful tool in algebraic geometry, used to form quotients of actions of reductive groups on schemes. Many examples of coarse/good moduli spaces of semistable objects can be realised as a reductive GIT quotient, including moduli spaces of Gieseker semistable sheaves and semistable quiver representations. However, if one is interested in constructing moduli spaces of unstable objects, often one needs to be able to form quotients of actions of parabolic groups.
