2023 微分几何讨论班

每周三 14:00-15:00, 2023.05-2023.07

Organized by: Luo Yong, Li Fengjiang, Lin Chien, Zhang Liuyang, Zhu Jialin 


Speaker: 万建明(西北大学)

Time: 9:00-11:00, Dec 20, 2023

Venue: 数学中心研讨室(至善楼602)

Title: 黎曼流形的基本群





Speaker张雅山 (Hunan University)

Time: 14:30-15:30, Dec 20, 2023

Venue: 数学中心研讨室(至善楼602)

Online:Zoom:811 5638 1768(Password:msrc)

TitleSingularity type of the long-time Kähler-Ricci flow

Abstract:  

In this talk, after introducing necessary backgrounds and recent developments on the singularity type of long-time Kahler-Ricci flows, we then focus on a conjecture of Tosatti predicting that, on a compact Kahler manifold of a nef canonical line bundle, the singularity type of Kahler-Ricci flow does not depend on the choice of the initial metrics. The surface case of this conjecture follows from Tosatti-Yuguang Zhang’s classification result in 2015, and the threefold case is proved by the speaker in 2020. Very recently Wondo-Zhou Zhang confirm this conjecture in full generality. Time permitting, we will describe main idea of the proof.