Colloquium DATE 2017-03-02¡@15:10-16:00 PLACE ¼Æ¾ÇÀ]3174±Ð«Ç SPEAKER §õ°êÞ³ ±Ð±Â¡]¥xÆW¤j¾Ç¼Æ¾Ç¨t¡^ 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.