Speaker: Reza Seyyedali(Institute for Research in Fundamental Science)

Time: 16:00-17:00 p.m., May 20, 2025, GMT+8

Venue: Room 77201, Jingchunyuan 78, BICMR, PKU

Abstract: 

Arezzo and Pacard proved that if a compact Kahler manifold M admits constant scalar curvature Kahler (cscK) metrics, then the blow-up of M in one or more points admits esK metrics provided that some stability conditions hold. Later, Arezzo, Pacard and Singer generalized their previous result to the case of extremal metrics. The main goal of this talk is to generalize the result of Arezzo-Pacard-Singer. More precisely, we give conditions under which the blowup of an extremal Kähler manifold along a submanifold of codimension greater than 2 admits an extremal metric.

Source: Beijing International Center for Mathematical Research, PKU