Updated on 2025/06/09

Information

 

写真a

 
MORITA Yosuke
 
Organization
Faculty of Mathematics Division of Algebra and Geometry Associate Professor
Joint Graduate School of Mathematics for Innovation (Concurrent)
School of Sciences Department of Mathematics(Concurrent)
Graduate School of Mathematics Department of Mathematics(Concurrent)
Title
Associate Professor
Profile
様々な幾何学の話題に興味があります。これまでは次のようなことを研究してきました: 1) 等質空間 G/H に、G の離散部分群が固有かつ自由に作用するとき、商空間は G/H を局所的なモデルとする多様体になり、Clifford−Klein 形と呼ばれています。私は「非 Riemann な等質空間が、コンパクトな Clifford-Klein 形をいつ持つか?」という問題を、主にコホモロジー的な手法を用いて探究してきました。 2) 位相力学系の研究に現れる Conley 指数と呼ばれるホモトピー的な不変量の、より簡明な定式化を提案しました。 大まかには「ホモトピー論の枠組みを使って、Lie 群論・微分幾何・力学系など、狭義の代数トポロジーからは少し離れたところにある問題に取り組む」というのが私の数学上の好みです。

Research Areas

  • Natural Science / Geometry

Degree

  • Ph.D. (Mathematical Sciences) ( 2017.3 The University of Tokyo )

Research History

  • 2017年4月 〜 2023年3月:京都大学 大学院理学研究科 数学教室 助教   

Education

  • The University of Tokyo   Graduate School of Mathematical Sciences  

    2014.4 - 2017.3

      More details

    Notes:Ph.D.

Research Interests・Research Keywords

  • Research theme: A new framework for Conley index theory

    Keyword: Conley index, topological dynamics, Morse theory, condensed set

    Research period: 2019.2

  • Research theme: Clifford-Klein forms of non-Riemannian homogeneous spaces

    Keyword: Lie groups, homogeneous space, Clifford-Klein form, proper action

    Research period: 2013.6

Papers

  • Exotic proper actions on homogeneous spaces via convex cocompact representations International coauthorship

    Maciej Bocheński;Yosuke Morita

    arXiv:2501.14274   2025.1

     More details

    Language:English  

    DOI: 10.48550/arXiv.2501.14274

  • Cartan projections of some non-reductive subgroups and proper actions on homogeneous spaces Reviewed International journal

    Yosuke Morita

    Transformation Groups   29 ( 2 )   823 - 845   2024.6   ISSN:1083-4362 eISSN:1531-586X

     More details

    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    Kobayashi (Duke Math. J. 67:653–664, 1992) gave a necessary condition for the existence of compact Clifford–Klein forms in terms of Cartan projections and non-compact dimensions of reductive subgroups. We extend his method to non-reductive subgroups and give some examples of homogeneous spaces of reductive type that do not admit compact Clifford–Klein forms by comparing Cartan projections and non-compact dimensions of reductive subgroups with those of non-reductive subgroups.

    DOI: 10.1007/s00031-022-09736-6

    DOI: 10.48550/arXiv.2106.07848

    Scopus

    researchmap

    Other Link: https://link.springer.com/article/10.1007/s00031-022-09736-6/fulltext.html

  • Conley index theory without index pairs. I: The point-set level theory Reviewed International journal

    Yosuke Morita

    Journal of Fixed Point Theory and Applications   25 ( 1 )   Paper No. 15   2023.2   ISSN:1661-7738 eISSN:1661-7746

     More details

    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    We propose a new framework for Conley index theory. The main feature of our approach is that we do not use the notion of index pairs. We introduce, instead, the notions of compactifiable subsets and index neighbourhoods and formulate and prove basic results in Conley index theory using these notions. We treat both the discrete time case and the continuous time case.

    DOI: 10.1007/s11784-022-01037-5

    DOI: 10.1007/s11784-023-01094-4 (correction)

    Scopus

    researchmap

    Other Link: https://link.springer.com/article/10.1007/s11784-022-01037-5/fulltext.html

  • A cohomological obstruction to the existence of compact Clifford–Klein forms Reviewed International journal

    Yosuke Morita

    Selecta Mathematica   23 ( 3 )   1931 - 1953   2017.7

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00029-016-0295-1, 10.48550/arXiv.1601.07359

  • A topological necessary condition for the existence of compace Clifford-Klein forms Reviewed International journal

    Yosuke Morita

    Journal of Differential Geometry   100 ( 3 )   533 - 545   2015.7

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4310/jdg/1432842364, 10.48550/arXiv.1310.7096

  • Proof of Kobayashi's rank conjecture on Clifford–Klein forms Reviewed International journal

    Yosuke Morita

    Journal of the Mathematical Society of Japan   71 ( 4 )   1153 - 1171   2019.10

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2969/jmsj/78007800, 10.48550/arXiv.1705.06544

  • Semisimple symmetric spaces that do not model any compact manifold Reviewed International journal

    Yosuke Morita

    Journal of Lie Theory   29 ( 2 )   493 - 510   2019.5

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.48550/arXiv.1811.01495

  • Homogeneous spaces of nonreductive type that do not model any compact manifold Reviewed International journal

    Yosuke Morita

    Publications of the Research Institute for Mathematical Sciences   53 ( 2 )   287 - 298   2017.5

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4171/PRIMS/53-2-3

  • Semisimple symmetric spaces without compact manifolds locally modelled thereon Reviewed International journal

    Yosuke Morita

    Proceedings of the Japan Academy, Series A, Mathematical Sciences   91 ( 2 )   29 - 33   2015.2

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3792/pjaa.91.29

▼display all

Presentations

  • Conley index theory and condensed sets Invited International conference

    Yosuke Morita

    Arbeitstagung 2023 on Condensed Mathematics  2023.6 

     More details

    Event date: 2023.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Max Planck Institute for Mathematics   Country:Germany  

    Other Link: https://www.mpim-bonn.mpg.de/node/11707

  • 非 Riemann 等質空間のコンパクト商の存在問題 Invited

    森田陽介

    第68回幾何学シンポジウム(基調講演)  2021.9 

     More details

    Event date: 2021.9

    Language:Japanese  

    Venue:北海道大学(オンライン)   Country:Japan  

    The existence problem of compact quotients of non-Riemannian homogeneous spaces

  • 非 Riemann 等質空間のコンパクト商のコホモロジー Invited

    森田 陽介

    日本数学会2018年度秋季総合分科会(幾何学分科会、特別講演)  2018.9 

     More details

    Event date: 2018.9

    Language:Japanese  

    Venue:岡山大学   Country:Other  

    On the cohomology of compact quotients of non-Riemannian homogeneous spaces

  • The existence problem of compact Clifford-Klein forms Invited International conference

    森田 陽介

    Rigidity School, Nagoya 2017(全4回、11月23日-26日)  2017.11 

     More details

    Event date: 2017.11

    Language:English  

    Venue:名古屋大学   Country:Other  

    The existence problem of compact Clifford-Klein forms

  • Around proper actions on homogeneous spaces Invited International conference

    Morita Yosuke, Maciej Bocheński

    Higher Rank Geometric Structures (Mini-course, 28-30 April, 6 hours in total)  2025.4 

     More details

    Event date: 2025.4

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Institut Henri Poincaré   Country:France  

    researchmap

  • Exotic proper actions on reductive homogeneous spaces via convex cocompact representations Invited International conference

    Yosuke Morita

    Teichmüller Theory and Beyond  2025.2 

     More details

    Event date: 2025.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul Nataional University   Country:Korea, Republic of  

    researchmap

  • An easy formulation of Conley indices Invited International conference

    Yosuke Morita

    Workshop on geometry of foliations and its applications  2024.12 

     More details

    Event date: 2024.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kyoto University of Education   Country:Japan  

    researchmap

  • Compact quotients of homogeneous spaces and sphere bundles Invited International conference

    Yosuke Morita

    International Workshop on Higher Teichmüller theory  2024.5 

     More details

    Event date: 2024.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Chern Institute of Mathematics, Nankai University   Country:China  

    researchmap

  • The existence problem of compact quotients of pseudo-Riemannian homogeneous spaces Invited International conference

    Yosuke Morita

    Zariski dense subgroups, number theory and geometric applications  2024.1 

     More details

    Event date: 2024.1

    Language:English   Presentation type:Oral presentation (general)  

    Venue:International Centre for Theoretical Sciences   Country:India  

    Other Link: https://www.icts.res.in/program/ZDSG

  • The existence problem of compact quotients of homogeneous spaces Invited International conference

    Yosuke Morita

    Séminaire Géométrie et applications (Université de Strasbourg)  2023.11 

     More details

    Event date: 2023.11

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Université de Strasbourg   Country:France  

    Other Link: https://irma.math.unistra.fr/seminaires/seminaire-geometrie-et-applications.html

  • The existence problem of compact Clifford-Klein forms of pseudo-Riemannian homogeneous spaces Invited International conference

    Yosuke Morita

    7th Tunisian-Japanese Conference "Geometric and Harmonic Analysis on Homogeneous Spaces and Applications" in Honor of Professor Toshiyuki Kobayashi  2023.11 

     More details

    Event date: 2023.11

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Iberostar Selection Kuriat Palace   Country:Tunisia  

    Other Link: https://sites.google.com/view/tunisian-japanese-conference/home/2023-7th

  • The existence problem of compact quotients of homogeneous spaces Invited International conference

    Yosuke Morita

    Séminaire Géométrie Topologie Dynamique (Université Paris-Saclay)  2023.11 

     More details

    Event date: 2023.11

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Université Paris-Saclay   Country:France  

    Other Link: https://www.imo.universite-paris-saclay.fr/en/events/7171

  • コンパクト商を持たない非 Riemann 等質空間について Invited

    森田 陽介

    第62回実函数論・函数解析学合同シンポジウム  2023.8 

     More details

    Event date: 2023.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:千葉大学   Country:Japan  

  • Sphere bundles, KO-theory, and vector fields on spheres (after Adams)

    森田 陽介

    Workshop on "Actions of Reductive Groups and Global Analysis"  2023.8 

     More details

    Event date: 2023.8

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Zoom   Country:Japan  

  • Conley 指数の定義について Invited

    森田 陽介

    Geometry and Topology  2023.6 

     More details

    Event date: 2023.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:九州大学   Country:Japan  

    Other Link: https://sites.google.com/view/geometry-and-topology/

  • 非 Riemann 等質空間の Clifford-Klein 形の幾何学 Invited

    森田 陽介

    九州大学数理談話会  2023.5 

     More details

    Event date: 2023.5

    Language:Japanese  

    Venue:九州大学   Country:Japan  

    Geometry of Clifford-Klein forms of non-Riemannian homogeneous spaces

  • Conley 指数理論の新しい定式化について Invited

    森田 陽介

    幾何学・トポロジー合同セミナー(九州大学)  2023.4 

     More details

    Event date: 2023.4

    Language:Japanese  

    Venue:九州大学   Country:Japan  

    On a new formulation of Conley index theory

  • A new framework for Conley index theory Invited International conference

    Yosuke Morita

    Low dimensional topology and number theory XIV  2023.3 

     More details

    Event date: 2023.3

    Language:English  

    Venue:九州大学   Country:Japan  

    A new framework for Conley index theory

  • Morse theory on the loop spaces of Lie groups and manifolds with hyperpolar actions (after Bott, Bott-Samelson, Conlon)

    森田陽介

    Workshop on "Actions of Reductive Groups and Global Analysis"  2022.8 

     More details

    Event date: 2022.8

    Language:Japanese  

    Venue:玉原国際セミナーハウス(オンライン)   Country:Japan  

    Morse theory on the loop spaces of Lie groups and manifolds with hyperpolar actions (after Bott, Bott-Samelson, Conlon)

  • The Conley index of topological dynamical systems

    Yosuke Morita

    iTHEMS 数学セミナー  2021.12 

     More details

    Event date: 2021.12

    Language:English  

    Venue:理化学研究所 iTHEMS(オンライン)   Country:Japan  

    The Conley index of topological dynamical systems

  • Conley 指数の定義について Invited

    森田陽介

    リー群論・表現論セミナー(東京大学)  2021.12 

     More details

    Event date: 2021.12

    Language:Japanese  

    Venue:東京大学(オンライン)   Country:Japan  

    On the definition of Conley indices

  • 指数対を使わない Conley 指数理論 Invited

    森田陽介

    京都力学系セミナー  2021.11 

     More details

    Event date: 2021.11

    Language:Japanese  

    Venue:京都大学(オンライン)   Country:Japan  

    Conley index theory without index pairs

  • Conley 指数について

    森田陽介

    Workshop on "Actions of Reductive Groups and Global Analysis"  2021.8 

     More details

    Event date: 2021.8

    Language:Japanese  

    Venue:玉原国際セミナーハウス(オンライン)   Country:Japan  

    On Conley indices

  • 非簡約な閉部分群の Cartan 射影と等質空間のコンパクト商 Invited

    森田陽介

    リー群論、表現論およびその周辺分野  2021.8 

     More details

    Event date: 2021.8

    Language:Japanese  

    Venue:京都大学数理解析研究所(オンライン)   Country:Other  

    Cartan projections of some nonreductive closed subgroups and compact quotients of homogeneous spaces

  • 非簡約な部分群の Cartan 射影とコンパクト Clifford–Klein 形の存在問題 Invited

    森田陽介

    リー群論・表現論セミナー(東京大学)  2021.6 

     More details

    Event date: 2021.6

    Language:Japanese  

    Venue:東京大学(オンライン)   Country:Other  

    Cartan projections of some nonreductive subgroups and the existence problem of compact Clifford–Klein forms

  • コンパクト Clifford–Klein 形と球面束

    森田陽介

    Workshop on "Actions of Reductive Groups and Global Analysis"  2020.8 

     More details

    Event date: 2020.8

    Language:Japanese  

    Venue:玉原国際セミナーハウス(オンライン)   Country:Other  

    Compact Clifford–Klein forms and sphere bundles

  • Cartan projections of some nonreductive subgroups Invited International conference

    Yosuke Morita

    Séminaire de Mathématique (Institut des Hautes Études Scientifiques)  2020.1 

     More details

    Event date: 2020.1

    Language:English  

    Venue:Institut des Hautes Études Scientifiques   Country:France  

  • A generalization of the ping-pong lemma

    森田 陽介

    リー群の群作用と大域解析に関するセミナー2019  2019.8 

     More details

    Event date: 2019.8

    Language:Japanese  

    Venue:玉原国際セミナーハウス   Country:Other  

    A generalization of the ping-pong lemma

  • Cartan projections of abelian horospherical subgroups and proper actions on homogeneous spaces Invited

    森田 陽介

    表現論とその周辺分野の進展  2019.7 

     More details

    Event date: 2019.7

    Language:Japanese  

    Venue:京都大学数理解析研究所   Country:Other  

    Cartan projections of abelian horospherical subgroups and proper actions on homogeneous spaces

  • 等質空間の Clifford-Klein 形の幾何学 Invited

    森田 陽介

    幾何学特別講義2/先端幾何学特別講義2(集中講義、全10回、10月8日-12日)  2018.10 

     More details

    Event date: 2018.10

    Language:Japanese  

    Venue:首都大学東京   Country:Other  

    Geometry of Clifford-Klein forms of homogeneous spaces

  • Cohomological obstructions to the existence of compact Clifford-Klein forms Invited International conference

    森田 陽介

    Seminar(Korea Institute of Advanced Study、全2回、7月24日-25日)  2018.7 

     More details

    Event date: 2018.7

    Language:English  

    Country:Korea, Republic of  

    Cohomological obstructions to the existence of compact Clifford-Klein forms

  • 等質空間の Clifford-Klein 形のコホモロジーについて Invited

    森田 陽介

    ワークショップ:幾何学的群論の新展開  2018.2 

     More details

    Event date: 2018.2

    Language:Japanese  

    Venue:ルネッサ赤沢   Country:Other  

    Cohomology of Clifford-Klein forms of homogeneous spaces

  • 簡約型等質空間のコンパクト商と不変式

    森田 陽介

    2017年度表現論シンポジウム  2017.11 

     More details

    Event date: 2017.11

    Language:Japanese  

    Venue:かんぽの宿 石和   Country:Other  

    Compact quotients of homogeneous spaces of reductive type and invariants

  • 等質空間の Clifford-Klein 形のコホモロジーについて

    森田 陽介

    広島幾何学研究集会 2017  2017.10 

     More details

    Event date: 2017.10

    Language:Japanese  

    Venue:広島大学   Country:Other  

    Cohomology of Clifford-Klein forms of homogeneous spaces

  • A cohomological obstruction to the existence of compact Clifford-Klein forms Invited International conference

    Yosuke Morita

    The Third Japanese-Spanish Workshop on Differential Geometry  2017.9 

     More details

    Event date: 2017.9

    Language:English  

    Venue:Instituto de Ciencias Matemáticas   Country:Spain  

  • Real cohomology of compact homogeneous spaces (after Cartan-Chevalley-Koszul-Weil)

    森田 陽介

    リー群の群作用と大域解析に関するセミナー(全3回、8月16日-18日)  2017.8 

     More details

    Event date: 2017.8

    Language:Japanese  

    Venue:玉原国際セミナーハウス   Country:Other  

    Real cohomology of compact homogeneous spaces (after Cartan-Chevalley-Koszul-Weil)

  • 等質空間上の固有な作用 Invited

    森田 陽介

    談話会(京都大学)  2017.6 

     More details

    Event date: 2017.6

    Language:Japanese  

    Venue:京都大学数理解析研究所   Country:Other  

    Proper actions on homogeneous spaces

  • 等質空間の Clifford-Klein 形のコホモロジーについて Invited

    森田 陽介

    幾何学セミナー(名古屋大学)  2017.5 

     More details

    Event date: 2017.5

    Language:Japanese  

    Venue:名古屋大学   Country:Other  

    Cohomology of Clifford-Klein forms of homogeneous spaces

  • 等質空間のコンパクト Clifford-Klein 形の存在に対するコホモロジー的障害 Invited

    森田 陽介

    微分トポロジーセミナー(京都大学)  2017.5 

     More details

    Event date: 2017.5

    Language:Japanese  

    Venue:京都大学   Country:Other  

    A cohomological obstruction to the existence of compact Clifford-Klein forms of homogeneous spaces

  • Homogeneous spaces that do not model any compact manifold Invited

    森田 陽介

    表現論セミナー(京都大学)  2017.4 

     More details

    Event date: 2017.4

    Language:Japanese  

    Venue:京都大学数理解析研究所   Country:Other  

    Homogeneous spaces that do not model any compact manifold

  • A cohomological obstruction to the existence of compact Clifford-Klein forms and ε-family of semisimple symmetric spaces

    森田 陽介

    2016年度表現論シンポジウム  2016.11 

     More details

    Event date: 2016.11

    Language:Japanese  

    Venue:オキナワ グランメールリゾート   Country:Other  

    A cohomological obstruction to the existence of compact Clifford-Klein forms and ε-family of semisimple symmetric spaces

  • A cohomological obstruction to the existence of compact Clifford-Klein forms Invited International conference

    Yosuke Morita

    International Conference for the 70th Anniversary of Korean Mathematical Society (session: Geometric Group Theory and Dynamics of Group Actions)  2016.10 

     More details

    Event date: 2016.10

    Language:English  

    Venue:Seoul National University   Country:Korea, Republic of  

  • A cohomological obstruction to the existence of compact Clifford-Klein forms International conference

    Yosuke Morita

    Group Actions and Dynamics Seminar (Yale University)  2016.9 

     More details

    Event date: 2016.9

    Language:English  

    Venue:Yale University   Country:United States  

  • A cohomological obstruction to the existence of compact Clifford-Klein forms Invited

    森田 陽介

    第63回幾何学シンポジウム  2016.8 

     More details

    Event date: 2016.8

    Language:Japanese  

    Venue:岡山大学   Country:Other  

    A cohomological obstruction to the existence of compact Clifford-Klein forms

  • A cohomological obstruction to the existence of compact Clifford-Klein forms Invited International conference

    森田 陽介

    Rigidity School, Nagoya 2016  2016.7 

     More details

    Event date: 2016.7

    Language:English  

    Venue:名古屋大学   Country:Other  

    A cohomological obstruction to the existence of compact Clifford-Klein forms

  • A cohomological obstruction to the existence of compact Clifford-Klein forms Invited International conference

    Yosuke Morita

    Geometry and Topology Seminar (University of Luxembourg)  2016.6 

     More details

    Event date: 2016.6

    Language:English  

    Venue:University of Luxembourg   Country:Luxembourg  

  • A cohomological obstruction to the existence of compact Clifford-Klein forms Invited International conference

    森田 陽介

    Geometric Analysis on Discrete Groups  2016.5 

     More details

    Event date: 2016.5

    Language:English  

    Venue:京都大学数理解析研究所   Country:Other  

    A cohomological obstruction to the existence of compact Clifford-Klein forms

  • 等質空間を局所モデルとするコンパクト多様体が存在するための障害

    森田 陽介

    日本数学会2016年度年会(幾何学分科会、一般講演)  2016.3 

     More details

    Event date: 2016.3

    Language:Japanese  

    Venue:筑波大学   Country:Other  

    Obstructions to the existence of compact manifolds locally modelled on homogeneous spaces

  • Cohomological obstructions to the existence of compact Clifford–Klein forms International conference

    Yosuke Morita

    Berkeley–Tokyo Winter School "Geometry, Topology and Representation Theory" (student session)  2016.2 

     More details

    Event date: 2016.2

    Language:English  

    Venue:University of California, Berkeley(アメリカ合衆国、バークレー)   Country:United States  

  • コンパクト Clifford-Klein 形の存在問題について

    森田 陽介

    2015年度表現論シンポジウム  2015.11 

     More details

    Event date: 2015.11

    Language:English  

    Venue:公共の宿 おおとり荘   Country:Other  

    On the existence problem of compact Clifford-Klein forms

  • Homogeneous spaces locally modelling no compact manifold Invited

    森田 陽介

    第15回関東若手幾何セミナー  2015.10 

     More details

    Event date: 2015.10

    Language:Japanese  

    Venue:慶應義塾大学   Country:Other  

    Homogeneous spaces locally modelling no compact manifold

  • A new cohomological obstruction to the existence of compact Clifford-Klein forms

    森田 陽介

    リー群の群作用と大域解析セミナー  2015.8 

     More details

    Event date: 2015.8

    Language:Japanese  

    Venue:玉原国際セミナーハウス   Country:Other  

    A new cohomological obstruction to the existence of compact Clifford-Klein forms

  • Proper actions on corank-one reductive homogeneous spaces (after Kassel)

    森田 陽介

    リー群の群作用と大域解析セミナー(全2回、8月4日-5日)  2015.8 

     More details

    Event date: 2015.8

    Language:Japanese  

    Venue:玉原国際セミナーハウス   Country:Other  

    Proper actions on corank-one reductive homogeneous spaces (after Kassel)

  • Cohomological obstructions to the existence of compact Clifford–Klein forms International conference

    Yosuke Morita

    Mathematical Symposium ENS Lyon–Todai (poster session)  2015.6 

     More details

    Event date: 2015.6

    Language:English  

    Venue:ENS de Lyon(フランス、リヨン)   Country:France  

    Cohomological obstructions to the existence of compact Clifford–Klein forms

  • 等質空間がコンパクト商を持つための位相的制約

    森田 陽介

    日本数学会2015年度年会(函数解析学分科会、一般講演)  2015.3 

     More details

    Event date: 2015.3

    Language:Japanese  

    Venue:明治大学   Country:Other  

    A topological obstruction to the existence of compact quotients of homogeneous spaces

  • Volume forms and compact Clifford-Klein forms Invited International conference

    森田 陽介

    ワークショップ「不連続群の変形とその周辺」  2015.2 

     More details

    Event date: 2015.2

    Language:English  

    Venue:名古屋大学   Country:Other  

    Volume forms and compact Clifford-Klein forms

  • A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces Invited International conference

    Yosuke Morita

    2015 East Asian Core Doctorial Forum on Mathematics  2015.1 

     More details

    Event date: 2015.1

    Language:English  

    Venue:National Taiwan University   Country:Taiwan, Province of China  

  • 等質空間を局所モデルとするコンパクト多様体が存在するための障害 Invited

    森田 陽介

    広島大学トポロジー・幾何セミナー  2014.12 

     More details

    Event date: 2014.12

    Language:Japanese  

    Venue:広島大学   Country:Other  

    An obstruction for the existence of compact manifolds locally modelled on homogeneous spaces

  • A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces Invited International conference

    森田 陽介

    Rigidity School, Tokyo 2014 (2nd)  2014.11 

     More details

    Event date: 2014.11

    Language:English  

    Venue:東京大学   Country:Other  

    A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces

  • A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces Invited

    森田 陽介

    第61回幾何学シンポジウム  2014.8 

     More details

    Event date: 2014.8

    Language:Japanese  

    Venue:名城大学   Country:Other  

    A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces

  • Y. Benoist "Actions propres sur les espaces homogènes réductifs" Chapitre 4 の解説

    森田 陽介

    リー群の表現論と群作用についての研究会  2014.8 

     More details

    Event date: 2014.8

    Language:Japanese  

    Venue:玉原国際セミナーハウス   Country:Other  

    A survey on Y. Benoist "Actions propres sur les espaces homogènes réductifs", Chapitre 4

  • 等質空間がコンパクト商を持つための位相的制約

    森田 陽介

    表現論と調和解析の新たな進展  2014.6 

     More details

    Event date: 2014.6

    Language:Japanese  

    Venue:京都大学数理解析研究所   Country:Other  

    A topological obstruction for the existence of compact quotients of homogeneous spaces of reductive type

  • 簡約型等質空間がコンパクト商を持つための位相的制約

    森田 陽介

    2013年度表現論シンポジウム  2013.11 

     More details

    Event date: 2013.11

    Language:Japanese  

    Venue:マホロバ・マインズ三浦   Country:Other  

    A topological obstruction for the existence of compact quotients of homogeneous spaces of reductive type

▼display all

Professional Memberships

Academic Activities

  • Screening of academic papers

    Role(s): Peer review

    2023

     More details

    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:0

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:1

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • 世話人 International contribution

    The 7th KTGU Mathematics Workshop for Young Researchers  ( Japan ) 2022.2

     More details

    Type:Competition, symposium, etc. 

Research Projects

  • 等質空間のコンパクト商とファイブレーション

    Grant number:24K16922  2024 - 2027

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Early-Career Scientists

      More details

    Authorship:Principal investigator  Grant type:Scientific research funding

  • Clifford-Klein forms and Dolbeault cohomology

    Grant number:19K14529  2019 - 2023

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Early-Career Scientists

    Morita Yosuke

      More details

    Authorship:Principal investigator  Grant type:Scientific research funding

    1) In joint work with Fanny Kassel and Nicolas Tholozan, we prove that a (non-Riemannian) reductive homogeneous space can admit a compact quotient only when a certain sphere bundle on the homogeneous space is fibrewise homotopy equivalent to the trivial sphere bundle. Using the Adams operations on KO-theory, we obtained many examples of homogeneous spaces for which our necessary condition is not satisfied (and hence, compact quotients do not exist).
    2) The Conley index is an invariant for isolated invariant subsets in topological dynamical systems. Usually, it is formulated using an index pair (N, L). I gave a new, simpler formulation of the Conley index, based on an observation that only the difference set N - L is important in Conlye index theory. I also observed that one can naturally define Conly indices in the point-set level if one uses condensed sets, a generalization of topological spaces.

    CiNii Research

  • 簡約型等質空間と非簡約型等質空間のコンパクトClifford-Klein形

    Grant number:17H06784  2017 - 2018

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Research Activity start-up

      More details

    Authorship:Principal investigator  Grant type:Scientific research funding

  • 指数定理と余随伴軌道に関する研究

    2014 - 2016

    Japan Society for the Promotion of Science  Research Fellowships for Young Scientists

      More details

    Authorship:Principal investigator  Grant type:Joint research

Class subject

  • 入門微分積分Ⅱ

    2025.12 - 2026.2   Winter quarter

  • 数学特論B4

    2025.12 - 2026.2   Winter quarter

  • 表現論大意

    2025.10 - 2026.3   Second semester

  • 数学特論8

    2025.10 - 2026.3   Second semester

  • 幾何学Ⅲ

    2025.10 - 2026.3   Second semester

  • コアセミナーⅡ

    2025.10 - 2026.3   Second semester

  • Representation Theory

    2025.10 - 2026.3   Second semester

  • 入門微分積分Ⅰ

    2025.10 - 2025.12   Fall quarter

  • 入門微分積分Ⅱ

    2024.12 - 2025.2   Winter quarter

  • 入門微分積分Ⅱ

    2024.12 - 2025.2   Winter quarter

  • 幾何学Ⅲ

    2024.10 - 2025.3   Second semester

  • 数理科学特論7

    2024.10 - 2025.3   Second semester

  • 数理科学特別講義Ⅶ

    2024.10 - 2025.3   Second semester

  • 入門微分積分Ⅰ

    2024.10 - 2024.12   Fall quarter

  • 入門微分積分Ⅰ

    2024.10 - 2024.12   Fall quarter

  • 表現論大意

    2024.4 - 2024.9   First semester

  • 数学特論8

    2024.4 - 2024.9   First semester

▼display all

FD Participation

  • 2025.2   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2024.7   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2024.4   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2023.8   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2023.4   Role:Participation   Title:令和5年度 第1回全学FD(新任教員の研修)

    Organizer:University-wide

Media Coverage

  • 記事名:『京都大学ガロア祭/問題と解説』 Newspaper, magazine

    『数学セミナー』(日本評論社)2021年12月号  2021.11

     More details

    記事名:『京都大学ガロア祭/問題と解説』