Singularity type of the long-time Kahler-Ricci flow

发布时间：2025-03-21 作者：浏览次数：

Speaker:	张雅山	DateTime:	2025年3月23日（周日）上午9:00-10:00
Brief Introduction to Speaker: 湖南大学数学学院副教授、硕士生导师。		Place:	国交2号楼315会议室
Abstract:The curvature behavior is one of the most important aspects of the Kahler-Ricci flow and usually deeply connect to singularity analysis of the flow. In this talk we shall provide an overview on the curvature behavior of long-time solutions to the Kahler-Ricci flow of collapsing structure, which intimately relate to the underlying complex structure. In particular, we will introduce some recent criteria for type-IIb singularities basing on certain analytic or algebraic properties of the underlying manifolds, and recent developments on a conjecture of V. Tosatti predicting the canonicalness of the singularity type of long-time Kahler-Ricci flow.