New development of geometric complex analysis

2014 Fiscal Year Final Research Report

• Project/Area Number: 22244008
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Basic analysis
• Research Institution: The University of Tokyo
• Principal Investigator: HIRACHI Kengo 東京大学, 数理(科)学研究科(研究院), 教授 (60218790)
• Co-Investigator(Renkei-kenkyūsha): TAKAYAMA Shigeharu 東京大学, 数理科学研究科, 教授 (20284333) ; YOSHIKAWA Ken-Ichi 京都大学, 理学研究科, 教授 (20242810) ; OHSAWA Takeo 名古屋大学, 多元数理研究科, 教授 (30115802) ; TSUJI Hajime 上智大学, 理工学部, 教授 (30172000) ; HONDA Nobuhiro 東京工業大学, 理工学研究科, 教授 (60311809) ; YAMANOI Katsutoshi 東京工業大学, 理工学研究科, 准教授 (40335295) ; ISHI Hiseyuki 名古屋大学, 多元数理研究科, 准教授 (00326068) ; NOGUCHI Junjiro 東京大学, 数理科学研究科, 名誉教授 (20033920) ; YAMAGUCHI Keizo 北海道大学, 理学研究科, 教授 (00113639) ; MABUCHI Toshiki 大阪大学, 理学研究科, 教授 (80116102) ; OKUMA Tomohiro 山形大学, 理学部, 教授 (00300533) ; KAMIMOTO Joe 九州大学, 理学研究科, 准教授 (90301374) ; MATSUMURA Shin-Ichi 鹿児島大学, 理工学研究科, 助教 (90647041)
• Project Period (FY): 2010-04-01 – 2015-03-31
• Keywords: CR多様体 / アインシュタイン計量 / ケーラー多様体 / ベルグマン核 / 乗数層イデアル / 値分布論 / 放物型幾何 / 特異点

Outline of Final Research Achievements

We held four Hayama symposium on SCV. To make a change of generations of management group of geometric complex analysis in Japan, we ask young researchers to be the organizers. The chairs of the 4 meetings were K.-I. Yoshikawa, H. Ishi, K. Yamanoi, N. Honda and J. Kamimoto; they will lead the research group for next 10 years. In the second half of the project, T. Okuma and S. Matsumura join as co-Investigators and organized two international workshops on singularities in complex spaces and a summer seminar on complex analysis for young researchers. We have also organized 3 international workshops on specific topics: Parabolic geometry, the Bergman kernel, Geometric analysis.
It is worth noting that the investigators of this project won several awards: K. Yamanoi and N. Honda won Geometry Prize of MSI, T. Ohsawa won The Bergman prize of AMS, K. Hirachi was selected to an invited speaker of ICM 2014.

Free Research Field

解析幾何学