Abstract: The curvature behavior is one of the most important aspects of the Kaehler-Ricci flow. In this talk we shall provide an overview on the curvature behavior of long-time solutions to the Kaehler-Ricci flow of collapsing structure, which intimately relate to the underlying complex structure. In particular, some recent criteria for type-IIb singularities basing on certain analytic or algebraic properties of the underlying manifolds will be introduced.
Speaker: Yashan Zhang is currently an Associate Professor at Hunan University. He obtained his Ph.D. at the University of Macau in 2017 under the supervision of Prof. Huai-Dong Cao and Prof. Yang Chen. His research is mainly focused on geometric analysis and complex geometry.
ID: 882 5435 2344