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Gromov-Hausdorff convergence and Geometric Analysis

Research Project

Project/Area Number 16K17585
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Geometry
Research InstitutionTohoku University

Principal Investigator

Shouhei Honda  東北大学, 理学研究科, 教授 (60574738)

Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
KeywordsRicci曲率 / Laplacian / リッチ曲率 / Gromov-Hausdorff収束 / ラプラシアン
Outline of Final Research Achievements

We developed the convergence theory of metric measure spaces with Ricci curvature bonded from below. In particular we studied, BV-functions, Sobolev functions, heat kernel, Weyl's law, local spectral convergence, spectral convergence of CD spaces, embedding into L2 space via heat kernel, characterization of non-collapsed spaces, sphere theorem, and degeneration of K3 surfaces.

Academic Significance and Societal Importance of the Research Achievements

この世のいたるところに図形がある.幾何学はそれを調べることが役目である.図形の中でもたんすのように角がある図形も日常にはあふれている.幾何学では,角がある図形と角がない図形を区別することが多く,後者の図形のほうが研究しやすい.本研究は前者の図形を微分積分を使って研究した.角がある図形の上での微分積分学への貢献の一助を担った研究となったと思う.

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (87 results)

All 2020 2019 2018 2017 2016 Other

All Int'l Joint Research (7 results) Journal Article (21 results) (of which Int'l Joint Research: 10 results,  Peer Reviewed: 21 results,  Open Access: 3 results,  Acknowledgement Compliant: 2 results) Presentation (57 results) (of which Int'l Joint Research: 32 results,  Invited: 57 results) Funded Workshop (2 results)

  • [Int'l Joint Research] Universite de Paris Est Creteil(フランス)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] University of California, Berkeley(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Stony Brook University(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Scuola Normale Superiore(イタリア)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Universite de Cergy-Pontoise(フランス)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Eindhoven University of Technology(オランダ)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Scuola Normale Superiore(イタリア)

    • Related Report
      2016 Research-status Report
  • [Journal Article] New differential operator and non-collapsed RCD spaces2020

    • Author(s)
      Shouhei Honda
    • Journal Title

      Geometry & Topology

      Volume: to appear Pages: 1-18

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sphere theorems for RCD and stratified spaces2020

    • Author(s)
      Shouhei Honda and Ilaria Mondello
    • Journal Title

      Annali della Scuola Normale Superiore di Pisa, Classe di Scienze

      Volume: to appear Pages: 1-17

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Collapsed Ricci limit spaces as non-collapsed RCD spaces2020

    • Author(s)
      Shouhei Honda
    • Journal Title

      SIGMA Symmetry Integrability Geom. Methods Appl.

      Volume: 16 Pages: 1-10

    • DOI

      10.3842/sigma.2020.021

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Rigidity of positive Ricci curvature via metric measure geometry2020

    • Author(s)
      Shouhei Honda
    • Journal Title

      Adv. Stud. Pure. Math.

      Volume: to appear Pages: 1-10

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ricci曲率が下に有界である特異空間2020

    • Author(s)
      本多正平
    • Journal Title

      数学

      Volume: to appear Pages: 1-24

    • NAID

      40022242799

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on collapsing geometry of hyperKahler four manifolds2019

    • Author(s)
      Shouhei Honda, Song Sun and Ruobing Zhang
    • Journal Title

      Sci. China Math.

      Volume: 62 Issue: 11 Pages: 2195-2210

    • DOI

      10.1007/s11425-019-1602-x

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the spaces with Ricci curvature bounds2019

    • Author(s)
      Shouhei Honda
    • Journal Title

      Sugaku Expositions

      Volume: 32 Issue: 1 Pages: 87-112

    • DOI

      10.1090/suga/439

    • NAID

      130005893401

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Short-time behavior of the heat kernel and Weyl’s law on RCD^* (K, N)-spaces2018

    • Author(s)
      Luigi Ambrosio, Shouhei Honda and David Tewodrose
    • Journal Title

      Annals of Global Analysis and Geometry

      Volume: 53 Issue: 1 Pages: 97-119

    • DOI

      10.1007/s10455-017-9569-x

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Continuity of nonlinear eigenvalues in CD(K,∞) spaces with respect to measured Gromov-Hausdorff convergence.2018

    • Author(s)
      L. Ambrosio, S. Honda, J. W. Portegies
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 57 Issue: 2 Pages: 1-23

    • DOI

      10.1007/s00526-018-1315-0

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Elliptic PDEs on compact Ricci limit spaces and applications.2018

    • Author(s)
      S. Honda
    • Journal Title

      Mem. Amer. Math. Soc.

      Volume: 253 Issue: 1211 Pages: 1-92

    • DOI

      10.1090/memo/1211

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Local spectral convergence in RCD*(K,N) spaces.2018

    • Author(s)
      L. Ambrosio, S. Honda
    • Journal Title

      Nonlinear Anal.

      Volume: 177 Pages: 1-23

    • DOI

      10.1016/j.na.2017.04.003

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Bakry-Emery conditions on almost smooth metric measure spaces.2018

    • Author(s)
      S. Honda
    • Journal Title

      Anal. Geom. Metr. Spaces

      Volume: 6 Issue: 1 Pages: 129-145

    • DOI

      10.1515/agms-2018-0007

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Elliptic PDEs on compact Ricci limit spaces and applications2018

    • Author(s)
      Shouhei Honda
    • Journal Title

      Memoirs of the American Mathematical Society

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Local spectral convergence in RCD^*(K, N)-spaces,2018

    • Author(s)
      Luigi Ambrosio and Shouhei Honda
    • Journal Title

      Nonlinear Analysis

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Continuity of nonlinear eigenvalues in CD(K, ∞) spaces with respect to measured Gromov-Hausdorff convergence2018

    • Author(s)
      Luigi Ambrosio, Shouhei Honda and Jacobs Portegies
    • Journal Title

      Calculus of Variation and Partial Differential Equations

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Ricci curvature and orientability2017

    • Author(s)
      Shouhei Honda
    • Journal Title

      Calculus of Variation and Partial Differential Equations

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Spectral convergence under bounded Ricci curvature2017

    • Author(s)
      Shouhei Honda
    • Journal Title

      Journal of Functional Analysis

      Volume: 273 Issue: 5 Pages: 1577-1662

    • DOI

      10.1016/j.jfa.2017.05.009

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Fano-Ricci limit spaces and spectral convergence2017

    • Author(s)
      Akito Futaki, Shouhei Honda and Shunsuke Saito
    • Journal Title

      Asian Journal of Mathematics

      Volume: 21 Issue: 6 Pages: 1015-1062

    • DOI

      10.4310/ajm.2017.v21.n6.a2

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] New stability results for sequences of metric measure spaces with uniform Ricci bounds from below2017

    • Author(s)
      Luigi Ambrosio and Shouhei Honda
    • Journal Title

      Measure Theory in Non-Smooth Spaces, De Gruyter Press, edited by Nicola Gigli

      Volume: - Pages: 1-51

    • DOI

      10.1515/9783110550832-001

    • ISBN
      9783110550832
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] New stability results for sequences of metric measure spaces with uniform Ricci bounds from below2017

    • Author(s)
      Luigi Ambrosio and Shouhei Honda
    • Journal Title

      Measure Theory in Non-Smooth Spaces, De Gruyter Press (印刷中)

      Volume: -

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Local spectral convergence in RCD^*(K, N) spaces2017

    • Author(s)
      Luigi Ambrosio and Shouhei Honda
    • Journal Title

      Nonlinear Analysis (印刷中)

      Volume: -

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] DePhilippis-Gigliの予想と球面定理2020

    • Author(s)
      本多正平
    • Organizer
      測地線及び関連する諸問題
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 熱を使ってDePhilippis-Gigliの予想を解く2020

    • Author(s)
      本多正平
    • Organizer
      大談話会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 熱核を使ってDePhilippis-Gigliの予想を解く2020

    • Author(s)
      本多正平
    • Organizer
      リーマン幾何と幾何解析
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Embedding of RCD(K, N) spaces in L2 via eigenfunctions2019

    • Author(s)
      Shouhei Honda
    • Organizer
      Optimal transport and Geometric Analysis
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Embedding of metric measure spaces in L2 via heat kernel2019

    • Author(s)
      Shouhei Honda
    • Organizer
      Convergence and Law Regularity in General Relativity
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Embedding of spaces with Ricci bounds from below in L2 via eigenfunctions2019

    • Author(s)
      Shouhei Honda
    • Organizer
      第5回日中幾何学研究集会
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Curvature, Laplace operator and distance between spaces2019

    • Author(s)
      Shouhei Honda
    • Organizer
      HeKKSaGOn Mathematics Group meeting
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Sphere theorem for metric measure spaces2019

    • Author(s)
      Shouhei Honda
    • Organizer
      The first Geometry Conference for friendship of Japan and German
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] DePhilippis-Gigliの予想と球面定理2019

    • Author(s)
      本多正平
    • Organizer
      リーマン幾何学,粗幾何学,特異点
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Non-collapsed/collapsed Gromov-Hausdorff limit spaces, synthetic treatment of Ricci curvature, and relation to complex geometry I2019

    • Author(s)
      Shouhei Honda
    • Organizer
      The 25th Symposium on Complex Geometry
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Non-collapsed/collapsed Gromov-Hausdorff limit spaces, synthetic treatment of Ricci curvature, and relation to complex geometry II2019

    • Author(s)
      Shouhei Honda
    • Organizer
      The 25th Symposium on Complex Geometry
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] DePhilippis-Gigliの予想と球面定理2019

    • Author(s)
      本多正平
    • Organizer
      微分幾何・トポロジーセミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 空間をL^2に自然に埋め込む2019

    • Author(s)
      本多正平
    • Organizer
      月曜解析セミナー(北海道大学)
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 空間をL^2に自然に埋め込む2019

    • Author(s)
      本多正平
    • Organizer
      測地線及び関連する諸問題(熊本大学)
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 空間をL^2に熱核を使って自然に埋め込む2019

    • Author(s)
      本多正平
    • Organizer
      リーマン幾何と幾何解析
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Embedding of metric measure spaces in L^2 via eigenfunctions2019

    • Author(s)
      S. Honda
    • Organizer
      Geometry and Everything Fukaya 60 (京都大学)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Weyl’s law on metric measure spaces with Ricci bounds from below2018

    • Author(s)
      S. Honda
    • Organizer
      Geometric Analysis Seminar (Tshinghua University)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Recent developments on metric measure spaces with Ricci bounds from below2018

    • Author(s)
      S. Honda
    • Organizer
      Colloquium (Tshinghua University)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Local spectral convergence in metric measure spaces with Ricci bounds from below2018

    • Author(s)
      S. Honda
    • Organizer
      Geometric Analysis Seminar (Tshinghua University)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 空間と偏微分方程式を同時に動かす2018

    • Author(s)
      本多正平
    • Organizer
      松山TGSAセミナー(愛媛大学)
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 空間と偏微分方程式を同時に動かす2018

    • Author(s)
      本多正平
    • Organizer
      横国大幾何学セミナー(横浜国立大学)
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 局所スペクトル収束とその応用2018

    • Author(s)
      本多正平
    • Organizer
      幾何学セミナー(首都大学東京)
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Geometric analysis on metric measure spaces with Ricci bounds from below2018

    • Author(s)
      S. Honda
    • Organizer
      The Second Symposium in geometry and differential equations (ShanghaiTech University)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometric analysis on metric measure spaces with uniform Ricci bounds from below2018

    • Author(s)
      S. Honda
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential equations and Applications (National Center for Theoretical Sciences)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Recent developments on metric measure spaces with Ricci bounds from below2018

    • Author(s)
      S. Honda
    • Organizer
      The 11th MSJ-SI The Role of Metrics in the Theory of Partial Differential Equations (北海道大学)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Ricci曲率が下に有界な特異空間上の幾何解析2018

    • Author(s)
      本多正平
    • Organizer
      2018年度日本数学会幾何学賞受賞特別講演(岡山大学)
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] ほぼ滑らかな空間の上の Ricci 曲率2018

    • Author(s)
      本多正平
    • Organizer
      多様体上の微分方程式(金沢大学サテライトプラザ)
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Ricci曲率とL^2空間へのほぼ等長埋め込み2018

    • Author(s)
      本多正平
    • Organizer
      幾何学セミナー(明治大学)
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Embedding of RCD*(K, N) spaces in L^2 via eigenfunctions2018

    • Author(s)
      S. Honda
    • Organizer
      Optimal Transport and Applications (Scuola Normale Superiore)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 空間をEuclid空間に自然に埋め込む2018

    • Author(s)
      本多正平
    • Organizer
      談話会(京都大学)
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Weyl's law on RCD spaces2018

    • Author(s)
      Shouhei Honda
    • Organizer
      Conference on Metrics and Measures
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 関数を熱流で流すと曲率が見える2018

    • Author(s)
      本多正平
    • Organizer
      東北大学 談話会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Spectral properties on metric measure spaces with Ricci bounds from below2018

    • Author(s)
      Shouhei Honda
    • Organizer
      The 25th Southern California Geometric Analysis Seminar
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Continuous quantities with respect to measured Gromov-Hausdorff convergence2018

    • Author(s)
      Shouhei Honda
    • Organizer
      The UC-Berkeley Differential Geometry Seminar
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 空間とPDEの収束2018

    • Author(s)
      本多正平
    • Organizer
      第一回新人セミナー
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 局所スペクトル収束とその応用2018

    • Author(s)
      本多正平
    • Organizer
      リーマン幾何と幾何解析
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] New stability results for sequences of metric measure spaces with uniform Ricci bounds from below2017

    • Author(s)
      Shouhei Honda
    • Organizer
      保存則を持つ偏微分方程式に対する解の特異性および漸近挙動の研究
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 空間が近いと色々近い2017

    • Author(s)
      本多正平
    • Organizer
      熊本大学 談話会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Local spectral convergence in RCD^*(K, N)-spaces2017

    • Author(s)
      Shouhei Honda
    • Organizer
      Geometric Analysis on smooth and non-smooth spaces
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] New stability results for sequences of metric measure spaces with uniform Ricci bounds from below2017

    • Author(s)
      Shouhei Honda
    • Organizer
      Trends in Modern Geometry
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Ricci 曲率が下に有界な空間族に対する様々な安定性と漸近解析2017

    • Author(s)
      本多正平
    • Organizer
      幾何学シンポジウム(基調講演)
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] New stability results for sequences of metric measure spaces with uniform Ricci bounds from below2017

    • Author(s)
      Shouhei Honda
    • Organizer
      第 3 回日中幾何学研究集会
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] New stability results for sequences of metric measure spaces with uniform Ricci bounds from below2017

    • Author(s)
      Shouhei Honda
    • Organizer
      The third Spanish-Japanese workshop on Differential Geometry
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] RCD 空間上の Weyl の法則2017

    • Author(s)
      本多正平
    • Organizer
      首都大学東京 幾何学セミナー
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] RCD 空間上の Weyl の法則2017

    • Author(s)
      本多正平
    • Organizer
      第 2 回宮崎幾何学セミナー
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] RCD 空間上の Weyl の法則2017

    • Author(s)
      本多正平
    • Organizer
      名古屋大学 幾何学セミナー
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Recent developments on metric measure spaces with uniform Ricci bounds from below2017

    • Author(s)
      Shouhei Honda
    • Organizer
      2017 Chongqing Workshop on Differential Geometry
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] RCD 空間上の Weyl の法則2017

    • Author(s)
      本多正平
    • Organizer
      大阪大学 幾何学セミナー
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Heat flow and Ricci curvature2017

    • Author(s)
      Shouhei Honda
    • Organizer
      Geometric Analysis in Geometry and Topology
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometric analysis on RCD-spaces and applications2017

    • Author(s)
      Shouhei Honda
    • Organizer
      Analysis and Geometry seminar
    • Place of Presentation
      Aalto University
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Introduction of Cheeger-Colding theory2016

    • Author(s)
      Shouhei Honda
    • Organizer
      Mini-course
    • Place of Presentation
      Beijing International Center for Mathematical Research Peking University
    • Year and Date
      2016-04-01
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Gromov-Hausdorff convergence and functional analysis2016

    • Author(s)
      Shouhei HOnda
    • Organizer
      談話会
    • Place of Presentation
      Beijing Normal University
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Spectral convergence under bounded Ricci curvature2016

    • Author(s)
      本多正平
    • Organizer
      幾何コロキウム
    • Place of Presentation
      東京大学
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Spectral convergence under bounded Ricci curvature2016

    • Author(s)
      Shouhei Honda
    • Organizer
      Geomertie
    • Place of Presentation
      Oberwolfach
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] New stability results for sequences of metric measure spaces with uniform Ricci bounds from below2016

    • Author(s)
      Shouhei Honda
    • Organizer
      Follow-Up-Workshop to JTP "Optimal Transportation"
    • Place of Presentation
      Hausdorff Research Institute for Mathematics
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Spectral convergence under bounded Ricci curvature2016

    • Author(s)
      Shouhei Honda
    • Organizer
      Geometric Analysis on Riemannian and Metric Spaces
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Ricci curvature and Orientability2016

    • Author(s)
      Shouhei Honda
    • Organizer
      Optimal Transport and Applications
    • Place of Presentation
      Scuola Normale Superiore
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Funded Workshop] The 3rd Symposium in Geometry and Differential Equations2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] Geometric Analysis on Riemannian and Metric Spaces2016

    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2016-09-05
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2021-02-19  

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