• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Geometry of nonpositively curved spaces and the mathematical programming

Research Project

Project/Area Number 22654007
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field Geometry
Research InstitutionNagoya University

Principal Investigator

NAYATANI Shin  名古屋大学, 多元数理科学研究科, 教授 (70222180)

Co-Investigator(Renkei-kenkyūsha) IZEKI Hiroyadu  慶応義塾大学, 理工学部, 教授 (90244409)
KOBAYASHI Toshimasa  摂南大学, 理工学部, 講師 (30399125)
Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥700,000 (Direct Cost: ¥700,000)
Keywords不変量δ / ビルディング / 数理計画法 / ユークリッド空間への埋め込み / 数値計算 / 埋め込みの変形 / 実対称行列の変形 / 超剛性定理
Research Abstract

We studied toward determi ning the rigorous values of the invariant δof the tangent cones at vertices of the Euclidean building associated with the algebraic group PGL(3,Q_p), where p are primes, and observed the p=2 case in detail. The problem is formulated as that of deforming a certain real symmetric matrix properly, and this matrix has 9 unknown parameters (functions of 1 variable). We determined 6 parameters of these.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (26 results)

All 2013 2012 2011 2010

All Journal Article (4 results) (of which Peer Reviewed: 1 results) Presentation (22 results) (of which Invited: 4 results)

  • [Journal Article] N-step energy of maps and fixed-point property of random groups2012

    • Author(s)
      納谷信、井関裕靖、近藤剛史
    • Journal Title

      Groups, Geometry, and Dynamics

      Volume: 6 Pages: 701-736

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Journal Article] N-step energy of maps and fixed-point property of random groups2011

    • Author(s)
      納谷信、井関裕靖、近藤剛史
    • Journal Title

      Groups, Geometry, and Dynamics

      Volume: (掲載予定)(未定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 調和写像と超剛性・固定点性質2010

    • Author(s)
      納谷信
    • Journal Title

      数理解析研究所講究録

      Volume: 1720 Pages: 112-138

    • Related Report
      2012 Final Research Report 2010 Annual Research Report
  • [Journal Article] An approach to superrigidity and fixed-point theorems via harmonic maps2010

    • Author(s)
      納谷信、井関裕靖
    • Journal Title

      AMS Translations

      Volume: 230 Pages: 135-160

    • Related Report
      2012 Final Research Report 2010 Annual Research Report
  • [Presentation] Fixed-point property of infinite groups2013

    • Author(s)
      納谷信
    • Organizer
      第5回国際ワークショップ 「微分幾何学と幾何解析」(招待講演)
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2013-03-27
    • Related Report
      2012 Final Research Report
  • [Presentation] Rumin複体に対するシャープなBochner公式を目指して2013

    • Author(s)
      納谷信
    • Organizer
      距離の幾何学探求勉強会
    • Place of Presentation
      琵琶湖コンファレンスセンター
    • Year and Date
      2013-03-18
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] Fixed-point property of infinite groups2013

    • Author(s)
      納谷信
    • Organizer
      Discrete Geometry and Dynamical Systems(招待講演)
    • Place of Presentation
      京都大学
    • Year and Date
      2013-01-25
    • Related Report
      2012 Final Research Report
  • [Presentation] Fixed-point property of infinite groups2013

    • Author(s)
      納谷信
    • Organizer
      Discrete Geometry and Dynamical Systems
    • Place of Presentation
      京都大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Fixed-point property of infinite groups2013

    • Author(s)
      納谷信
    • Organizer
      第5回国際ワークショップ 「微分幾何学と幾何解析」
    • Place of Presentation
      大阪市立大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Quaternionic contact/CR geometry2012

    • Author(s)
      納谷信
    • Organizer
      福岡大学微分幾何研究会(招待講演)
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2012-11-03
    • Related Report
      2012 Final Research Report
  • [Presentation] ランダム群のL^p空間に対する固定点性質2012

    • Author(s)
      井関裕靖
    • Organizer
      福岡微分幾何研究会
    • Place of Presentation
      福岡微分幾何研究会
    • Year and Date
      2012-11-03
    • Related Report
      2012 Final Research Report
  • [Presentation] Quaternionic CR geometry2012

    • Author(s)
      納谷信
    • Organizer
      第18回複素幾何シンポジウム(招待講演)
    • Place of Presentation
      信州菅平高原プチホテルゾンタック
    • Year and Date
      2012-10-27
    • Related Report
      2012 Final Research Report
  • [Presentation] Deformation of polyhedra towards Margulis superrigidity2012

    • Author(s)
      納谷信
    • Organizer
      極小曲面と幾何構造(招待講演)
    • Place of Presentation
      名城大学
    • Year and Date
      2012-03-06
    • Related Report
      2012 Final Research Report
  • [Presentation] Deformation of polyhedra towards Margulis superrigidity2012

    • Author(s)
      納谷信
    • Organizer
      極小曲面と幾何構造
    • Place of Presentation
      名城大学(招待講演)
    • Year and Date
      2012-03-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] Quaternionic contact/CR geometry2012

    • Author(s)
      納谷信
    • Organizer
      Geometry and Something (福岡大学微分幾何研究会)
    • Place of Presentation
      福岡大学セミナーハウス
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Quaternionic CR geometry2012

    • Author(s)
      納谷信
    • Organizer
      第18回複素幾何シンポジウム
    • Place of Presentation
      信州菅平高原プチホテルゾンタック
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Coxeter polyhedra in hyperbolic spaces2011

    • Author(s)
      井関裕靖
    • Organizer
      福岡微分幾何学研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2011-11-06
    • Related Report
      2012 Final Research Report
  • [Presentation] Deformation of polyhedra towards Margulis superrigidity2011

    • Author(s)
      納谷信
    • Organizer
      福岡大学微分幾何研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2011-11-05
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] 離散群の剛性への幾何学的アプローチ2011

    • Author(s)
      納谷信
    • Organizer
      仙台シンポジウム(招待講演)
    • Place of Presentation
      東北大学情報科学研究科
    • Year and Date
      2011-08-18
    • Related Report
      2012 Final Research Report
  • [Presentation] ランダム群の固定点性質2011

    • Author(s)
      井関裕靖
    • Organizer
      仙台シンポジウム2011
    • Place of Presentation
      東北大学情報科学研究科
    • Year and Date
      2011-08-18
    • Related Report
      2012 Final Research Report
  • [Presentation] 離散群の剛性への幾何学的アプローチ2011

    • Author(s)
      納谷信
    • Organizer
      仙台シンポジウム
    • Place of Presentation
      東北大学情報科学研究科(招待講演)
    • Year and Date
      2011-08-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] 離散群の剛性と非正曲率空間の幾何2011

    • Author(s)
      納谷信
    • Organizer
      筑波大学数学系月例談話会
    • Place of Presentation
      筑波大学数理物質科学研究科
    • Year and Date
      2011-01-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quaternionic CR geometry2010

    • Author(s)
      納谷信
    • Organizer
      Workshop on Parabolic Geometry
    • Place of Presentation
      東京大学玉原セミナーハウス
    • Year and Date
      2010-11-02
    • Related Report
      2012 Final Research Report
  • [Presentation] Quaternionic CR geometry2010

    • Author(s)
      納谷信
    • Organizer
      Workshop on Parabolic Geometry
    • Place of Presentation
      東京大学 玉原セミナーハウス
    • Year and Date
      2010-11-02
    • Related Report
      2010 Annual Research Report
  • [Presentation] 四元数CR幾何における可積分性2010

    • Author(s)
      納谷信
    • Organizer
      福岡大学微分幾何研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2010-10-08
    • Related Report
      2012 Final Research Report 2010 Annual Research Report
  • [Presentation] 調和写像と超剛性・固定点性質2010

    • Author(s)
      納谷信
    • Organizer
      RIMS研究集会「調和写像論の深化と展望」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-06-03
    • Related Report
      2012 Final Research Report 2010 Annual Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi