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

Hardcover

ISBN 10: 9819995051 ISBN 13: 9789819995059

Verlag: Springer, 2024

Inhaltsangabe

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 kernel. The symposium took place in Hayama and Tokyo in July 2022. Each article is closely related to the Bergman kernel, 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, L^p 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.

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Über die Autorin bzw. den Autor

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. 

Von der hinteren Coverseite

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 kernel. The symposium took place in Hayama and Tokyo in July 2022. Each article is closely related to the Bergman kernel, 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, L^p 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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2024
• Sprache: Englisch
• ISBN 10: 9819995051
• ISBN 13: 9789819995059
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 377
• Herausgeber: Hirachi Kengo, Ohsawa Takeo, Takayama Shigeharu, Kamimoto Joe
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland