From the work of Fefferman and Graham, particularly renewed by the recent development in the quantum theory of gravity in theoretic physics, PDE and analysis on asymptotically hyperbolic manifolds have become the focus of much development in conformal geometry. The central issues are existence and compactness of conformally compact Einstein metrics. In this set of seminars we will have speakers report their recent researches and a number of interesting papers in this extremely active research field.

July 3 Thurs. 2:00 - 4: 00 pm
Speaker: Li Gang
Title: Rigidity of conformally compact manifolds with the round sphere as the conformal infinity
Venue：Room 09 at Quan Zhai, BICMR

July 8 Tues. 2:00 - 4: 00 pm
Speaker: Li Gang
Title: Boundary regularity of conformally compact Einstein metrics (I)
Venue：Room 09 at Quan Zhai, BICMR

July 10 Thurs. 2:00 - 4: 00 pm
Speaker: Li Gang
Title: Boundary regularity of conformally compact Einstein metrics (II)
Venue：Room 09 at Quan Zhai, BICMR

July 15 Tues. 2:00 - 4: 00 pm
Speaker: Bao Chao
Title: the round shpere minimizes entropy among closed self-shringkers(I)
Venue：Room 09 at Quan Zhai, BICMR

July 17 Thurs. 2:00 - 4: 00 pm
Speaker: Bao Chao
Title: the round shpere minimizes entropy among closed self-shringkers(II)
Venue：Room 09 at Quan Zhai, BICMR

July 22 Tues. 2:00 - 4: 00 pm
Speaker:Wu Jie
Title: A new kind of mass for asymptotically flat manifolds and asymptotically hyperbolic manifolds
Venue：Room 09 at Quan Zhai, BICMR

July 24 Thurs. 2:00 - 4: 00 pm
Speaker:Wu Jie
Title: Geometric inequalities for hypersurfaces in H^n
Venue：Room 09 at Quan Zhai, BICMR

July 29 Tues. 2:00 - 4: 00 pm
Speaker:Wang Wenlomg
Title: Uniqueness of Self-similar Shrinkers with Asymptotically Conical Ends (I)
Venue：Room 09 at Quan Zhai, BICMR

July 31 Thurs. 2:00 - 4: 00 pm
Speaker:Wang Wenlomg
Title: Uniqueness of Self-similar Shrinkers with Asymptotically Conical Ends (II)
Venue：Room 09 at Quan Zhai, BICMR