Speaker IntroLars Andersson is a BIMSA professor. Before joining BIMSA he held professorships at the Royal Institute of Technology, Stockholm, the University of Miami, and led a research group at the Albert Einstein Institute, Potsdam. He works on problems in general relativity, mathematical physics and differential geometry, and has contributed to the mathematical analysis of cosmological mode...
Abstract:In a very recent pair of nice papers of Badiane and Zeriahi, they consider the eigenvalue problem of complex Monge-Ampere and complex Hessian, and show that the C^{1,\bar{1}}-regularity of eigenfunction for MA and C^alpha-regularity for complex Hessian. They posed a question about the C^{1,1}-regularity. We give a positive answer and show the C^{1,1}-regularity and uniqueness of the e...