Colloquium
DATE	2017-03-02　15:10-16:00
PLACE	數學館3174教室
SPEAKER	李國瑋 教授（台灣大學數學系）
TITLE	Constant Mean Curvature Foliation in the Extended Schwarzschild Spacetime
ABSTRACT	In this talk, we first give an introduction to the constant mean curvature (CMC) foliations and the CMC time functions. Then we summarize some CMC foliations results in cosmological spacetimes. For spatially noncompact cases, Schwarzschild spacetimes for example, CMC foliation properties were conjectured by Malec and O Murchadha in [1,2]. These conjectures are completely proved in [3,4,5] and we will show the ideas of these proofs in this talk as well.