In-Kyun Kim, Wall-crossing of K-moduli Spaces of Weighted Projective Spaces

In algebraic geometry, constructing moduli spaces that parametrize families of algebraic varieties with certain properties is an important problem.

In the case of Fano varieties, the construction of moduli spaces is a challenging problem.

K-stability provides a criterion for selecting nice representatives within the moduli space, which helps create more meaningful and well-behaved moduli spaces.

In this talk, we will study some properties of K-moduli spaces. This is a joint work with Yuchen Liu and Chengxi Wang.