- Title: Semicontinuity theorem for deformations of strongly pseudoconvex CR structures
- Speaker: Dr. Jae-Cheon Joo (Bergische Universität Wuppertal)
This talk is about a generalization of the Greene-Krantz theorem for the semicontinuity property of holomorphic automorphism groups for strongly pseudoconvex domains, which states that a small deformation of a given strongly pseudoconvex domain has the holomorphic automorphism group which can be regarded as a subgroup of that of the original domain through a conjugation by diffeomorphsm. I will show how to prove the semicontinuity property for abstract CR manifolds intrinsically, with differential geometric methods on the CR Yamabe equation, which are mainly developed by Jerison-Lee, Gamara-Yacoub and R. Schoen.
- Place: GAIA Seminar Room (#106, Math Science bldg.)