Constructions and developments of geomerty on moduli spaces and arithmetic varieties

2014 Fiscal Year Final Research Report

• Project/Area Number: 22244003
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Algebra
• Research Institution: Kyoto University
• Principal Investigator: MORIWAKI Atsushi 京都大学, 理学(系)研究科(研究院), 教授 (70191062)
• Co-Investigator(Kenkyū-buntansha): MUKAI Shigeru 京都大学, 数理解析研究所, 教授 (80115641) ; NAKAJIMA Hiraku 京都大学, 数理解析研究所, 教授 (00201666) ; NAMIKAWA Yoshinori 京都大学, 理学研究科, 教授 (80228080) ; YOSHIKAWA Kenichi 京都大学, 理学研究科, 教授 (20242810) ; MOCHIZUKI Takuro 京都大学, 数理解析研究所, 教授 (10315971)
• Co-Investigator(Renkei-kenkyūsha): YOSIOKA Kota 神戸大学, 理学研究科, 教授 (40274047) ; KAWAGUCHI Shu 同志社大学, 理工学部, 教授 (20324600) ; FUJINO Osamu 京都大学, 理学研究科, 准教授 (60324711) ; ABE Takeshi 熊本大学, 自然科学研究科, 准教授 (90362409) ; INABA Michiaki 京都大学, 理学研究科, 准教授 (80359934)
• Project Period (FY): 2010-04-01 – 2015-03-31
• Keywords: 代数幾何学 / モジュライ空間 / 数論幾何学 / 解析的捩率 / 複素幾何 / 算術的力学系

Outline of Final Research Achievements

Our six teams made international and surprising progresses of constructions and developments on geometries on moduli spaces and arithmetic varieties. For example, Prof. Mochizuki, who is a member of this research project, was elected as a plenary speaker of Soul International congress of Mathematicians 2014. Moreover, we supported the intercity seminars between Paris, Barcelona and Kyoto by this project. We could produce a lot of significant international researches such as joint works of Moriwaki and H. Chen at Fourier Institute, Grenoble University.

Free Research Field

代数幾何学