11 nov 2015 -- 14:30
Aula di Consiglio, Dip.Matematica, Università "La Sapienza", Roma
Many moduli spaces are constructed via geometric invariant theory and in this talk we focus on moduli of coherent sheaves and moduli of quiver representations. In both cases, we introduce two stratifications: a Harder-Narasimhan stratification and a stratification coming from the GIT construction. For quiver representations, we show that both stratifications coincide. However, this is not quite true for sheaves. We explain why this is the case and we construct an asymptotic GIT stratification which agrees with the Harder-Narasimhan stratification for sheaves.