The Einstein-Hilbert Functional and the Donaldson-Futaki Invariant - Part 2

Explore a mathematical seminar lecture where Dr. Carlo Scarpa from UQAM discusses properties of the Einstein-Hilbert functional and its connection to test configurations, leading to an alternative proof of K-semistability of cscK manifolds. Delve into recent collaborative research with Abdellah Lahdili and Eveline Legendre that introduces a novel approach to understanding the existence of constant scalar curvature Kähler metrics on polarised manifolds. While building upon previous discussions, this self-contained presentation focuses on the relationship between the Einstein-Hilbert functional and the Donaldson-Futaki invariant, offering valuable insights into algebraic and differential geometry.