Yokota Takumi 横田巧

… Alternative Names

YOKOTA Takumi 横田巧

Less

Researcher Number	70583855
Other IDs
Affiliation (Current)	2025: 東北大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2018 – 2024: 東北大学, 理学研究科, 准教授 2014 – 2017: 京都大学, 数理解析研究所, 助教 2010 – 2011: 京都大学, 数理解析研究所, 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Basic Section 11020:Geometry-related
Keywords	Principal Investigator 測度距離空間 / リッチ流 / ピラミッド / 距離空間 / リーマン多様体 / 曲率 / リーマン幾何学 / CAT(1)-空間 / ワッサーシュタイン空間 / アレクサンドロフ空間 … More Except Principal Investigator … More 曲率 / Gromov双曲空間 / 凸関数 / 勾配流 / フィンスラー幾何 / 対数ソボレフ不等式 / 局所化 / エントロピー / 情報幾何学 / ローレンツ幾何学 / フィンスラー幾何学 / フィンスラー多様体 / 測度の集中 / 分解定理 / ローレンツ・フィンスラー多様体 / 等周不等式 / Wasserstein距離 / 最適輸送理論 / ピラミッド / ローレンツ幾何 / 非線形熱流 / 情報幾何 / 重心 / フィンスラー時空 / リッチ曲率 / 最適輸送 Less

New developments in gradient flow theory on metric spaces
- Principal Investigator
  
  太田慎一
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Osaka University
Geometry of metric measure spaces and pyramidsPrincipal Investigator
- Principal Investigator
  
  横田巧
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tohoku University
Geometry of optimal transport theory and gradient flows
- Principal Investigator
  
  Ohta Shin-ichi
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Osaka University
Geometry of spaces with curvature bounded above or belowPrincipal Investigator
- Principal Investigator
  
  Yokota Takumi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tohoku University
Research on geometry involving Ricci flowPrincipal Investigator
- Principal Investigator
  
  Yokota Takumi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Comparison geometry of Ricci flow and Ricci solitonsPrincipal Investigator
- Principal Investigator
  
  YOKOTA Takumi
- Project Period (FY)
  2010 – 2011
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  Kyoto University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2012 2011 2010 Other

All Journal Article Presentation

[Journal Article] Boundedness of precompact sets of metric measure spaces2021
- Author(s)
  Daisuke Kazukawa, Takumi Yokota
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 215 Issue: 1 Pages: 229-242
- DOI
  10.1007/s10711-021-00646-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20J00147, KAKENHI-PROJECT-18K03298, KAKENHI-PROJECT-19H01786
[Journal Article] Stability of RCD condition under concentration topology2019
- Author(s)
  Ryunosuke Ozawa and Takumi Yokota
- Journal Title
  
  Calc. Var. Partial Differential Equations
  
  Volume: 58 Issue: 4
- DOI
  10.1007/s00526-019-1586-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03298, KAKENHI-PROJECT-19K14532, KAKENHI-PROJECT-19H01786
[Journal Article] Law of large numbers in CAT(1)-spaces of small radii2018
- Author(s)
  Yokota Takumi
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 57 Issue: 2
- DOI
  10.1007/s00526-018-1310-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800035
[Journal Article] Convex functions and $p$-barycenter on CAT(1)-spaces of small radii2017
- Author(s)
  Takumi Yokota
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800035
[Journal Article] On the filling radius of positively curved Alexandrov spaces2012
- Author(s)
  Takumi Yokota
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 273 Issue: 1-2 Pages: 161-171
- DOI
  10.1007/s00209-012-0999-7
- Year and Date
  2012-02-11
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22840028
[Journal Article] A rigidity theorem in Alexandrov spaces with lower curvature bound2011
- Author(s)
  Takumi Yokota
- Journal Title
  
  Mathematische Annalen
  
  Volume: 353 Issue: 2 Pages: 305-331
- DOI
  10.1007/s00208-011-0686-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22840028
[Journal Article] Cone structure of L^2. Wasserstein spaces
- Author(s)
  Asuka Takatsu and Takumi Yokota
- Journal Title
  
  Journal of Topology and Analysis
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] ピラミッドの積の収束について2023
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-18K03298
[Presentation] ピラミッドの積の収束について、2023
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Boundedness of precompact sets of metric measure spaces2022
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-18K03298
[Presentation] 測度距離空間の射影極限とピラミッド2022
- Author(s)
  横田巧
- Organizer
  確率論と幾何学
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] 測度距離空間の射影極限とピラミッド2022
- Author(s)
  横田巧
- Organizer
  確率論と幾何学
- Invited
- Data Source
  KAKENHI-PROJECT-18K03298
[Presentation] Boundedness of precompact sets of metric measure spaces2022
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] Some observation on the geometry of metric measure spaces2021
- Author(s)
  横田巧
- Organizer
  測地線および関連する諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-18K03298
[Presentation] 測度距離空間の幾何学とその拡張2020
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-18K03298
[Presentation] 測度距離空間の幾何学とその拡張2020
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] 測度距離空間の幾何学とその拡張2019
- Author(s)
  横田巧
- Organizer
  幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K03298
[Presentation] 測度距離空間の幾何学とその拡張2019
- Author(s)
  横田巧
- Organizer
  幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19H01786
[Presentation] RCD空間の集中とスペクトル収束2019
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-18K03298
[Presentation] Stability of RCD condition under concentration topology2018
- Author(s)
  Takumi Yokota
- Organizer
  The 4th China-Japan Geometry Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03298
[Presentation] Stability of RCD condition under concentration topology2018
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Stability of RCD condition under concentration topology2018
- Author(s)
  横田巧
- Organizer
  リーマン幾何と幾何解析
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Barycenter of probability measures on CAT(1)-spaces of small radii2018
- Author(s)
  Takumi Yokota
- Organizer
  Workshop on barycenters, convexity on metric spaces and positive operators
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03298
[Presentation] Stability of RCD condition under concentration topology2018
- Author(s)
  Takumi Yokota
- Organizer
  確率論と幾何学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Law of large numbers in CAT(1)-spaces of small radii2017
- Author(s)
  横田巧
- Organizer
  測地線および関連する諸問題
- Place of Presentation
  熊本大学（熊本県熊本市）
- Year and Date
  2017-01-07
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Barycenter of probability measures on CAT(1)-spaces of small radii2017
- Author(s)
  Takumi Yokota
- Organizer
  KTGU Mathematics Workshop for Young Researchers
- Place of Presentation
  京都大学（京都府京都市）
- Year and Date
  2017-02-20
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Law of large numbers in CAT(1)-spaces of small radii2017
- Author(s)
  横田巧
- Organizer
  リーマン幾何と幾何解析
- Place of Presentation
  京都大学（京都府京都市）
- Year and Date
  2017-02-24
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Convex functions and $p$-barycenter on CAT(1)-spaces of small radii2016
- Author(s)
  横田巧
- 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（福岡県福岡市）
- Year and Date
  2016-11-03
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Convex functions and p-barycenter on CAT(1)-spaces of small radii2016
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Place of Presentation
  熊本大学（熊本県・熊本市）
- Year and Date
  2016-01-10
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] 半径の小さいCAT(1)-空間上の凸関数と確率測度のp-重心2016
- Author(s)
  横田巧
- Organizer
  日本数学会2016年度秋季総合分科会
- Place of Presentation
  関西大学（大阪府吹田市）
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Open problems on Ricci flow2016
- Author(s)
  横田巧
- Organizer
  Geometric flows and related problems
- Place of Presentation
  東京工業大学（東京都・目黒区）
- Year and Date
  2016-03-04
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Convex functions and p-barycenter on CAT(1)-spaces of small radii2016
- Author(s)
  Takumi Yokota
- Organizer
  Metric Geometry and Its Applications
- Place of Presentation
  上海（中華人民共和国）
- Year and Date
  2016-02-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] リッチ流の曲率がピンチされた完備な古代解について2015
- Author(s)
  横田巧
- Organizer
  測地線及び関連する諸問題
- Place of Presentation
  熊本大学
- Year and Date
  2015-01-10
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Convex functions and barycenter on CAT(1)-spaces of small radii2014
- Author(s)
  Takumi Yokota
- Organizer
  確率論と幾何学
- Place of Presentation
  東京工業大学
- Year and Date
  2014-09-23
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] 半径の小さいCAT(1)-空間上の確率測度の重心2014
- Author(s)
  横田巧
- Organizer
  日本数学会2014年度秋季総合分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-26
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] リッチ流の曲率がピンチされた完備な古代解について2014
- Author(s)
  横田巧
- Organizer
  第61回幾何学シンポジウム
- Place of Presentation
  名城大学
- Year and Date
  2014-08-26
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] Complete ancient solutions to the Ricci flow with pinched curvature2014
- Author(s)
  Takumi Yokota
- Organizer
  低次元多様体モジュライ空間の幾何学
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-12-08
- Invited
- Data Source
  KAKENHI-PROJECT-26800035
[Presentation] 正曲率Alexandrov空間のfillimg radiusについて2012
- Author(s)
  横田巧
- Organizer
  2012日本数学会年会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] On the filling radius of positively curved Alexandrov spaces2012
- Author(s)
  Takumi Yokota
- Organizer
  研究集会"Group actions and K-theory"
- Place of Presentation
  京都大学(招待講演)
- Year and Date
  2012-03-14
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] On the filling radius of positively curved Alexandrov spaces2012
- Author(s)
  横田巧
- Organizer
  研究集会"Group actions and K-theory
- Place of Presentation
  京都大学
- Year and Date
  2012-03-14
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] A refinement of a gap theorem for gradient shrinking Ricci solitons2011
- Author(s)
  横田巧
- Organizer
  松江微分幾何学研究会2011
- Place of Presentation
  島根大学
- Year and Date
  2011-12-17
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] 正曲率Alexandrov空間のfillimg radiusについて2011
- Author(s)
  横田巧
- Organizer
  微分トポロジーセミナー
- Place of Presentation
  京都大学
- Year and Date
  2011-12-20
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] A refinement of a gap theorem for gradient shrinking Ricci solitons2011
- Author(s)
  横田巧
- Organizer
  松江微分幾何学研究会2011
- Place of Presentation
  島根大学(招待講演)
- Year and Date
  2011-12-17
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] 正曲率Alexandrov空間のfillimg radiusについて2011
- Author(s)
  横田巧
- Organizer
  幾何学セミナー
- Place of Presentation
  九州大学
- Year and Date
  2011-10-21
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] 正曲率Alexandrov空間のfillimg radiusについて2011
- Author(s)
  横田巧
- Organizer
  筑波大学微分幾何学火曜セミナー
- Place of Presentation
  筑波大学
- Year and Date
  2011-11-10
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] リッチ流と第2種曲率作用素が正の多様体2010
- Author(s)
  横田巧
- Organizer
  第57回幾何学シンポジウム
- Place of Presentation
  神戸大学
- Year and Date
  2010-08-09
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] リッチ流の古代解の比較幾何2010
- Author(s)
  横田巧
- Organizer
  談話会
- Place of Presentation
  京都大学
- Year and Date
  2010-04-28
- Data Source
  KAKENHI-PROJECT-22840028
[Presentation] 正曲率条件をみたす多様体上のリッチ流2010
- Author(s)
  横田巧
- Organizer
  ワークショップ「リーマン計量の変分問題」
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-22840028

1. Ohta Shin-ichi (00372558)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. 高津飛鳥 (90623554)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Yokota Takumi 横田 巧

YOKOTA Takumi 横田 巧

Research Projects

Research Products

Co-Researchers

New developments in gradient flow theory on metric spaces

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometry of metric measure spaces and pyramidsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometry of optimal transport theory and gradient flows

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometry of spaces with curvature bounded above or belowPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on geometry involving Ricci flowPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Comparison geometry of Ricci flow and Ricci solitonsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Boundedness of precompact sets of metric measure spaces2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Stability of RCD condition under concentration topology2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Law of large numbers in CAT(1)-spaces of small radii2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Convex functions and $p$-barycenter on CAT(1)-spaces of small radii2017

Author(s)

Journal Title

Data Source

[Journal Article] On the filling radius of positively curved Alexandrov spaces2012

Author(s)

Journal Title

DOI

Year and Date

Data Source

[Journal Article] A rigidity theorem in Alexandrov spaces with lower curvature bound2011

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Cone structure of L^2. Wasserstein spaces

Author(s)

Journal Title

Data Source

[Presentation] ピラミッドの積の収束について2023

Author(s)

Organizer

Data Source

[Presentation] ピラミッドの積の収束について、2023

Yokota Takumi 横田巧

YOKOTA Takumi 横田巧