报告人：张晓（中国科学院数学与系统科学研究院、广西大学广西数学研究中心主任）

报告题目： ALH geometry and the positive energy theorem

报告时间：2026年3月25日，10：00-11：00

报告地点：腾讯会议 662 711 269

报告摘要：In 1988, LeBrun constructed an ALE metric with negative mass. This provides the counterexample of Hawking-Pope's generalized positive action conjecture for the zero cosmological constant. In this talk, we study the analougous problem for the negative cosmological constant where geometry is ALH. We show that the positive energy theorem fails for metrics of Eguchi-Hanson type II with nontrivial quotients of sphere at infinity, but holds true for asymptotically Horowitz-Myers metrics on R^2×T^{n-2} with torus at infinity. The talk is based on the joint works with J. Chen and Z . Liang.