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

Relatively hyperbolic structures and convergence actions of discrete groups

Research Project

Project/Area Number 24740045
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Geometry
Research InstitutionEhime University

Principal Investigator

Oguni Shin-ichi  愛媛大学, 理工学研究科, 准教授 (00549446)

Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords相対的双曲群 / 粗幾何 / 幾何学的群論 / 幾何学 / 粗幾何学
Outline of Final Research Achievements

My research mainly treated relatively hyperbolic groups and related topics. Actually some properties with respect to geometric group theory, dynamical system, coarse geometry, non-commutative geometry and so on were studied. In particular some new theorems related to boundaries of relatively hyperbolic groups were proved. Such results were presented in my talks in some conferences and in papers. For example joint works with Yoshifumi Matsuda and Saeko Yamagata are related to geometric group theory and dynamical system. Also joint works with Tomohiro Fukaya deal with coarse geometric and non-commutative geometric properties.

Report

(5 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (19 results)

All 2016 2015 2014 2013 Other

All Journal Article (8 results) (of which Peer Reviewed: 8 results,  Acknowledgement Compliant: 4 results) Presentation (9 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results) Remarks (2 results)

  • [Journal Article] The coarse Baum-Connes conjecture for Busemann non-positively curved spaces2016

    • Author(s)
      Tomohiro Fukaya, Shin-ichi Oguni
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 56(1) Issue: 1 Pages: 1-12

    • DOI

      10.1215/21562261-3445129

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Notes on relatively hyperbolic groups and relatively quasiconvex subgroups2015

    • Author(s)
      Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 38(1) Issue: 1 Pages: 99-123

    • DOI

      10.3836/tjm/1428412566

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Coronae of product spaces and the coarse Baum-Connes conjecture2015

    • Author(s)
      Tomohiro Fukaya, Shin-ichi Oguni
    • Journal Title

      Advances in Mathematics

      Volume: 279 Pages: 201-233

    • DOI

      10.1016/j.aim.2015.01.022

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Coronae of relatively hyperbolic groups and coarse cohomologies2015

    • Author(s)
      Tomohiro Fukaya, Shin-ichi Oguni
    • Journal Title

      Journal of Topology and Analysis

      Volume: online Issue: 03 Pages: 1-44

    • DOI

      10.1142/s1793525316500151

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] The universal relatively hyperbolic structure on a group and relative quasiconvexity for subgroups2014

    • Author(s)
      Y. Matsuda, S. Oguni, S. Yamagata
    • Journal Title

      RIMS Kokyuroku Bessatsu B

      Volume: 48 Pages: 73-93

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] On Cannon-Thurston maps for relatively hyperbolic groups2014

    • Author(s)
      Yoshifumi Matsuda; Shin-ichi Oguni
    • Journal Title

      Journal of Group Theory

      Volume: 17(1) Issue: 1 Pages: 41-47

    • DOI

      10.1515/jgt-2013-0024

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] C*-simplicity for groups with non-elementary convergence group actions2013

    • Author(s)
      Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
    • Journal Title

      Houston Journal of Mathematics

      Volume: 39(4) Pages: 1291-1299

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Dilatational equivalence classes, Novikov-Shubin type capacities of groups, and random walks2013

    • Author(s)
      Shin-ichi Oguni
    • Journal Title

      Noncommutative Geometry and Physics

      Volume: 3 Pages: 433-469

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Coronae of product spaces and the coarse Baum-Connes conjecture2015

    • Author(s)
      Shin-ichi Oguni
    • Organizer
      International Conference on Non-commutative Geometry and K-Theory
    • Place of Presentation
      重慶(中国)
    • Year and Date
      2015-12-18
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 粗Baum-Connes予想と粗幾何2015

    • Author(s)
      尾國新一
    • Organizer
      広島幾何学研究集会2015
    • Place of Presentation
      広島大学(広島県・東広島市)
    • Year and Date
      2015-10-07
    • Related Report
      2015 Annual Research Report
  • [Presentation] 粗Baum-Connes予想と粗代数的トポロジー2014

    • Author(s)
      尾國新一
    • Organizer
      日本数学会2014年度秋季総合分科会
    • Place of Presentation
      広島大学(広島県東広島市)
    • Year and Date
      2014-09-25 – 2014-09-28
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Coarse Baum-Connes conjecture and coarse algebraic topology2014

    • Author(s)
      尾國 新一
    • Organizer
      Rigidity School, Tokyo 2013/2014
    • Place of Presentation
      東京大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Coronae and coarse homologies2013

    • Author(s)
      尾國 新一
    • Organizer
      Metric geometry and analysis
    • Place of Presentation
      京都大学
    • Related Report
      2013 Research-status Report
  • [Presentation] On the coarse Baum-Connes conjecture2013

    • Author(s)
      尾國 新一
    • Organizer
      GEOQUANT 2013
    • Place of Presentation
      ESI, Vienna, Austria
    • Related Report
      2013 Research-status Report
  • [Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups2013

    • Author(s)
      尾國 新一
    • Organizer
      China-Japan Conference on Noncommutative Geometry and K-Theory
    • Place of Presentation
      Jilin University, Changchun, China
    • Related Report
      2013 Research-status Report
  • [Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups

    • Author(s)
      Shin-ichi Oguni
    • Organizer
      Geometric group theory and K-theory
    • Place of Presentation
      鳥羽シーサイドホテル
    • Related Report
      2012 Research-status Report
  • [Presentation] The coarse Baum-Connes conjecture for relatively hyperbolic groups

    • Author(s)
      尾國新一
    • Organizer
      非可換幾何学と数理物理学2012
    • Place of Presentation
      慶應義塾大学
    • Related Report
      2012 Research-status Report
  • [Remarks] 愛媛大学研究者総覧(尾國新一)

    • URL

      http://kenqweb.office.ehime-u.ac.jp/Profiles/0010/0002335/profile.html

    • Related Report
      2015 Annual Research Report
  • [Remarks] 愛媛大学最先端研究紹介infinity(尾國新一)

    • URL

      https://www.ehime-u.ac.jp/data_study/data_study-6025/

    • Related Report
      2015 Annual Research Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi