Blowing up extremal Kähler manifolds
组织者
演讲者
Lars Martin Sektnan
时间
2022年12月07日 17:15 至 18:30
地点
Online
线上
Zoom 839 2831 2262
(BIMSA)
摘要
Extremal Kähler metrics were introduced by Calabi as a type of canonical Kähler metric on a Kähler manifold. They generalise constant scalar curvature Kähler metrics. A natural question is when the blowup of a manifold in a point admits an extremal Kähler metric. I will discuss sufficient conditions as well as obstructions to producing extremal metrics on the blowup in the compact setting, coming from works of Arezzo-Pacard, Arezzo-Pacard-Singer, Stoppa, Székelyhidi and joint work with Dervan. I will also discuss the non-compact setting of Poincaré type metrics, where there is an additional obstruction not present in the compact setting.
演讲者介绍
“I am a mathematician working in the field of complex geometry. My main interests include canonical metrics on Kähler manifolds or vector bundles, K-stability, and related notions. A lot of my research focuses on perturbation problems for canonical metrics, where the goal is to construct new such metrics from old ones.”