Room 505, Cosmology Building, National Taiwan University + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館505研討室+ Cisco WebEx)
Toroidal Positive Mass Theorem
Pei-Ken Hung (University of Illinois at Urbana-Champaign)
Abstract
I will discuss the positive mass theorem for 3-dimensional asymptotically hyperboloidal initial data sets with toroidal infinity. The rigidity is obtained provided the second fundamental form is umbilic. Without the umbilic assumption, the rigidity fails and we construct a counterexample based on the Horowitz-Myers geon. We also recover the local rigidity theorem of Eichmair-Galloway-Mendes in dimension 3. These results are obtained through an analysis of spacetime harmonic functions. This is a joint work with Aghil Alaee and Marcus Khuri.
Meeting number (access code): 2517 379 9706
Meeting password: XMkupYgw283
Organizers: Nicolau Sarquis Aiex (NTNU), Chung-Jun Tsai (NTU), Siao-Hao Guo (NTU)
