The condition C and the property(T)-Looking for what is behind global variational methods and unitary representation theory

• Project/Area Number: 22654021
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Single-year Grants
• Research Field: Global analysis
• Research Institution: The University of Tokyo (2011); Nagoya University (2010)
• Principal Investigator: KANAI Masahiko 東京大学, 大学院・数理科学研究科, 教授 (70183035)
• Project Period (FY): 2010 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥2,960,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥360,000); Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2010: ¥1,400,000 (Direct Cost: ¥1,400,000)
• Keywords: 条件C / 性質(T) / Palais-Smaleの条件C / Kazhdanの性質(T) / 剛性問題

Research Abstract

A partial result on nonlinear tangential Poincare inequalities on foliated manifolds has been obtained, but further investigation shouldbe done before publishing it. Also, it seems that a new perspecive on the rigidity of group actions was gained. Hopefully it would be published soon.

Research Products

• [Presentation] 複比を巡って (2011)
  • Author(s): 金井雅彦
  • Organizer: 研究集会「複素解析的クトル場・葉層構造とその周辺」
  • Place of Presentation: ともいき荘,京都市
  • Year and Date: 2011-12-10
• [Presentation] 複比を巡って (2011)
  • Author(s): 金井雅彦
  • Organizer: 談話会
  • Place of Presentation: 東京大学
  • Year and Date: 2011-11-04
• [Presentation] Cross ratio, its relatives and rigidity, Geometry and Dynamics (2011)
  • Author(s): 金井雅彦
  • Organizer: Today Forum
  • Place of Presentation: ENS Lyon
  • Year and Date: 2011-10-17
• [Presentation] 群作用の剛性-不変幾何構造を介して (2011)
  • Author(s): 金井雅彦
  • Organizer: 慶応幾何セミナー
  • Place of Presentation: 慶應義塾大学
  • Year and Date: 2011-06-20
• [Presentation] Rigidity of group actions via invariant geometric structures (2011)
  • Author(s): 金井雅彦
  • Organizer: 表現論セミナーおよびトポロジー火曜セミナー
  • Place of Presentation: 東京大学
  • Year and Date: 2011-06-07