The Bergman Kernel and Related Topics: Hayama Symposium on SCV XXIII, Kanagawa, Japan, July 2022
About this ebook
Specifically, some papers address the L2 extension operators from a newly opened viewpoint after solving Suita's conjecture for the logarithmic capacity. They are also continuations of quantitative solutions to the openness conjecture for the multiplier ideal sheaves. The study involves estimates for the solutions of the d-bar equations, focusing on the existence of compact Levi-flat hypersurfaces in complex manifolds.
The collection also reports progress on various topics, including the existence of extremal Kähler metrics on compact manifolds, Lp variants of the Bergman kernel, Wehrl-type inequalities, homogeneous Kähler metrics on bounded homogeneous domains, asymptotics of the Bergman kernels, and harmonic Szegő kernels and operators on the Bergman spaces and Segal-Bargmann spaces.
Some of the papers are written in an easily accessible way for beginners. Overall, this collection updates how a basic notion provides strong insights into the internal relationships between independently found phenomena.
About the author
Professor Kengo Hirachi is a full professor at the University of Tokyo and awarded the 2006 Bergman prize. Aldo he was an invited speaker of ICM 2014 (analysis section).
Professor Takeo Ohsawa is a professor emeritus of Nagoya University. He was also an invited speaker of ICM 1990.
Professor Shigeharu Takayama is a full professor of the University of Tokyo.
Professor Joe Kamimoto is a full professor of Kyushu University.
