LECTURE 2:
K-STABILITY AND MODULI OF FANO VARIETIES
There has been tremendous progress of algebraic K-stability theory of Fano varieties in the recent years. One main topic is to use it to construct moduli spaces, called K-moduli. Several main ingredients have been established, based on the development within the K-stability theory as well as other parts of algebraic geometry e.g. MMP, stack theory etc. In this talk, we will sketch the people’s progress of understanding K-stability and then discuss how they are used in the construction of the moduli space.
