Profesor wizytujÄ…ca w CSZ Yingying Zhang z Tsinghua University, 06-13.01.2020

W dniach 06-13 stycznia 2020 goÅ›ciem Centrum Studiów Zaawansowanych byÅ‚a dr Yingying Zhang, Assistant Professor w Yau Mathematical Sciences Center na Uniwersytecie Tsinghua w Pekinie. 

Wizyta związana była z organizacją w letnim semestrze akademickim warsztatów MASTERCLASS IN GEOMETRIC ANALYSIS dla studentów z Politechniki Warszawskiej oraz Tsinghua University. Podczas wizyty dr Yingying Zhang wygłosiła na Wydziale MiNI PW wykład pt. Obstructions to the existence of coupled Kahler-Einstein metrics.

Abstrakt wykładu:

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.