Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Dr. Mingyang Li，Berkeley
Inviter:
Title:	The non-existence of certain Hermitian non-K?hler ALE gravitational instantons
Language:	Chinese
Time & Venue:	2023.07.19 10:30-11:30 南楼N913
Abstract:	Gravitational instantons, which are 4-dimensional complete Ricci-flat manifolds with finite energy, have their origins in physics. Hyperk?hler gravitational instantons have been extensively studied and have been completely classified in recent years. It has been discovered that hyperk?hler gravitational instantons are always asymptotic to specific model geometries at infinity, namely ALE, ALF, ALG, ALH, and two exceptional cases ALG, ALH. While there are only a few known examples of non-K?hler ALF gravitational instantons, it has been conjectured that there are no non-K?hler ALE gravitational instantons. In this presentation, I will discuss results related to ALE gravitational instantons and demonstrate that there are no Hermitian non-K?hler ALE gravitational instantons when the structure group is contained in SU(2).