BIMSA > BIMSA-AEI Geometry and Gravitation Seminar Blowing up extremal Kähler manifolds
Blowing up extremal Kähler manifolds
Organizer
Lars Andersson
Speaker
Lars Martin Sektnan
Time
Wednesday, December 7, 2022 5:15 PM - 6:30 PM
Venue
Online
Online
Zoom 839 2831 2262 (BIMSA)
Abstract
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.
Speaker Intro
“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.”