EVENT DETAILS AND ABSTRACT

Title: Moduli space of smoothable K-semistable Q-Fano varieties
Speaker: Chenyang Xu
Speaker Info: BICMR Beijing
Brief Description:
Special Note:
Abstract:

It is expected that there is a compact moduli space parametrizing all K-polystable Fano varieties. However, the standard GIT method can’t be applied as we know some of them are not GIT-stable. In this talk, we will discuss a construction of a proper algebraic space parametrizing K-polystable smoothable Fano varieties. The starting point is the analytic proof of YTD-conjecture. Then we follow a general strategy of showing that an Artin stack has a good moduli space, using a mixture of local and global conditions. We will explain the reasons why the conditions hold in our situation.