Visiting professor at CAS Yingying Zhang from Tsinghua University, 06-13.01.2020
On 06-13 of January 2020, Dr. Yingying Zhang, Assistant Professor at the Yau Mathematical Sciences Center at Tsinghua University in Beijing, was a guest at the Center for Advanced Studies.
The visit was connected with work on establishing of MASTERCLASS IN GEOMETRIC ANALYSIS workshops for students from Warsaw University of Technology and Tsinghua University during the approaching summer academic semester. Furthermore Dr. Yingying Zhang gave a lecture titled: "Obstructions to the existence of coupled Kahler-Einstein metrics" at the Faculty of MiNI PW.
Abstract of the lecture:
Obstructions to the existence of coupled Kahler-Einstein metrics.
Coupled K\"ahler-Einstein metric was introduced by Hultgren and Witt-Nystrom. It is a new type canonical metric generalizing K\"ahler-Einstein metrics or K\"ahler Ricci solitons on a compact Kahler manifolds. In this talk, we will discuss two obstructions to the existence of the coupled K\"ahler-Einstein metrics. One is the Matsushima type obstruction, which is about the reductivity of the Lie algebra of automorphism. Another is an extension of original Futaki invariant. We will also discuss the localization formula of this generalized Futaki invariant and use it to verify the existence of coupled K\"ahler-Einstein metric on an example.