91直播

91直播：司飞（北京大学）

时间：2024年04月29日 14：00-

地点：数统91直播 LD302

摘要：K-stability for a Fano manifold is an algebraic-geometric condition to guarantee the existence of K¨ahler-Einstein metric on itself due to YauTian-Donaldson’s conjecture. Later algebraic-geometers realise that K-stability should be a good notation to construct a satisfactory moduli space for Fano varieties and then are aimed to develop an algebraic theory to deal with the moduli problem of K-semistable Fano varieties. Recently the breakthrough work of Liu-Xu-Zhuang on properness of moduli space of K-semistable Fano varieties finishes the last part of the theory. This leads to the existence of K-moduli space parametrizing S-equivalence classes of K-semistable Fano varieties. In the first part of the two talks, I will give an introduction to the algebraic K-stability theory to construct K-moduli spaces and wall-crossing phenomenon in K-moduli spaces due to Ascher-DeVleming-Liu.

简介：司飞，2021年在复旦大学上海数学中心取得博士学位，现为北京大学国际数学研究中心博士后；研究方向为代数几何，尤其是与模空间相关的课题。

邀请人：数学研究中心

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