The Bergman Keel and Related Topics:Hayama Symposium on SCV XXIII, Kanagawa, Japan, July 2022:447 (Springer Proceedings in Mathematics & Statistics, 447)

by: Kengo Hirachi (Editor),Takeo Ohsawa(Editor),Shigeharu Takayama(Editor),Joe Kamimoto(Editor)&1more

Publisher: Springer
Edition:2024th

Publication Date: 20 Mar. 2024

Language: English

Print Length: 377 pages

ISBN-10: 9819995051

ISBN-13: 9789819995059

Book Description

This volume consists of 15 papers contributing to the Hayama Symposium on Complex Analysis in Several Variables XXIII, which was dedicated to the 100th anniversary of the creation of the Bergman keel. The symposium took place in Hayama and Tokyo in July 2022. Each article is closely related to the Bergman keel, covering topics in complex analysis, differential geometry, representation theory, PDE, operator theory, and complex algebraic geometry.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 keel, Wehrl-type inequalities, homogeneous Kähler metrics on bounded homogeneous domains, asymptotics of the Bergman keels, and harmonic Szegő keels 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 inteal relationships between independently found phenomena.

About the Author

From the Back Cover This volume consists of 15 papers contributing to the Hayama Symposium on Complex Analysis in Several Variables XXIII, which was dedicated to the 100th anniversary of the creation of the Bergman keel. The symposium took place in Hayama and Tokyo in July 2022. Each article is closely related to the Bergman keel, covering topics in complex analysis, differential geometry, representation theory, PDE, operator theory, and complex algebraic geometry.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 keel, Wehrl-type inequalities, homogeneous Kähler metrics on bounded homogeneous domains, asymptotics of the Bergman keels, and harmonic Szegő keels 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 inteal 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.