Recent developments in K-stability provide a nice moduli space, called a K-moduli space, for log Fano pairs. When the coefficient of the divisor varies, these K-moduli spaces demonstrate wall crossing phenomena. In this talk, I will discuss the general principle of K-moduli wall crossings, and show in examples that it provides a bridge connecting various moduli spaces of different origins, such as GIT, KSBA, and Hodge theory. Based on joint works with Kenny Ascher and Kristin DeVleming.

Meeting ID：85114528712
Passcode：608225