北京雁栖湖应用数学研究院

拉尔斯·安德森 , 亚历杭德罗·托雷斯-奥韦拉 , 张笑然

Virinchi Rallabhandi

2025年10月17日 16:30 至 17:30

A3-2-301

Zoom 787 662 9899 (BIMSA)

This talk will discuss global and quasilocal properties of energy in spacetimes with negative cosmological constant using spinor methods. In the first half of the talk, a general positive energy theorem is developed for asymptotically, locally AdS spacetimes with boundary geometry admitting compact cross-sections with parallel or Killing spinors. Various examples will be used to illustrate the effect of the boundary geometry. In the second half of the talk, a new notion of quasilocal mass will be defined for generic, compact, 2D, spacelike surfaces in 4D spacetimes with negative cosmological constant. The new quasilocal mass is based on work for vanishing cosmological constant by Penrose and Dougan & Mason and will be shown to have a number of physically desirable properties.

I am a final year PhD student in the school of mathematics at the University of Edinburgh, under the supervision of James Lucietti. I have previously been a master's student at the University of Cambridge and a master's and undergraduate student at the University of Western Australia.