[NTNU MATH-CAG-MSRC Jointed Seminar on Geometric Analysis] 【12月20日】張雅山/Singularity type of the long-time Kähler-Ricci flow

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.

Organizers:

Chang, Shu-Cheng
Kuo, Ting-Jung
Lin, Chun-Chi