By differential geometers, I mean anyone who has seen some Riemannian geometry in their
life. In this talk we aim to motivate the notion of K-stability for Fano manifolds and give a
differential geometric definition of Futaki invariant. Along the way we will show the interesting
fact that the space of all Kähler potentials in a fixed Kähler class is formally an infinite
dimensional negatively curved Riemannian symmetric space. Depending on the interest of the
audience, I might mention very briefly what the corresponding algebro-geometric definition is. Speaker(s): Yueqiao Wu (UM)