PDEs and Conformal Geometry
- Speaker(s)庆杰
- DateFrom 2012-06-26 To 2012-07-26
- Venue北京国际数学研究中心 镜春园82号甲乙丙楼 82J12教室
Title: PDEs and Conformal Geometry
Date:
June 26, 28 (Tues & Thurs)
July 3, 5
July 10, 12
July 17, 19
July 24, 26
Time:
14:00 - 16:00
Venue:
北京国际数学研究中心 镜春园82号甲乙丙楼 82J12教室
Abstract:
In this lectures I will introduce some recent developments in conformal geometry and PDEs in conformal geometry.
I plan to cover the following topics:
1. Ambient space construction of Fefferman and Graham
2. renormalized volumes and conformally compact Einstein manifolds
3. Scattering theory on asymptotically hyperbolic manifolds
4. Fractional Yamabe problems
5. Espinar-Galvez-Mira theory on hypersurfaces in hyperbolic spaces
6. Fully nonlinear Yamabe problems.