KASS seminar

Abstract: A guiding problem in Kähler geometry is to find an equivalence between the existence of a given special metric and an algebro-geometric stability condition. In this context, a natural step towards proving the equivalence is to show that, given a manifold that admits a special metric, stable deformations of the manifold still admit a special metric. I will present a new technique to address this type of problem that relies on reducing to a finite-dimensional problem and on the theory of moment maps, and I will explain the details in the case of constant scalar curvature metrics.