森田 陽介

Last Update: 2019/10/26 02:37:48

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Name(Kanji/Kana/Abecedarium Latinum)
森田 陽介/モリタ ヨウスケ/Morita, Yosuke
Primary Affiliation(Org1/Job title)
Graduate Schools Science/Assistant Professor
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
修士(数理科学) 東京大学
博士(数理科学) 東京大学
Language of Instruction
Language(japanese) Language(english) Code
英語
researchmap URL
https://researchmap.jp/7000019585
Research Topics
(Japanese)
幾何学/変換群論・Lie群論(等質空間、Clifford-Klein形)
(English)
Geometry / Transformation groups, Lie groups (homogeneous spaces, Clifford-Klein forms)
Overview of the research
(Japanese)
等質空間を不連続群の作用で割った商多様体(Clifford-Klein形)の幾何学を、主にコホモロジー的な手法を用いて研究しています。
(English)
A Clifford-Klein form is the quotient manifold of a homogeneous space by a discontinuous group action. I am studying the geometry of Clifford-Klein forms, using mainly cohomological methods.
Fields of research (key words)
Key words(Japanese) Key words(English)
Clifford-Klein形 Clifford-Klein form
不連続群 discontinuous group
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Yosuke Morita 森田 陽介 Yosuke Morita Proof of Kobayashi's rank conjecture on Clifford–Klein forms Proof of Kobayashi's rank conjecture on Clifford–Klein forms Proof of Kobayashi's rank conjecture on Clifford–Klein forms Journal of the Mathematical Society of Japan, 71, 4, 1153-1171 Journal of the Mathematical Society of Japan, 71, 4, 1153-1171 Journal of the Mathematical Society of Japan, 71, 4, 1153-1171 2019/10 Refereed English Research paper(scientific journal) Disclose to all
Yosuke Morita 森田 陽介 Yosuke Morita Semisimple symmetric spaces that do not model any compact manifold Semisimple symmetric spaces that do not model any compact manifold Semisimple symmetric spaces that do not model any compact manifold Journal of Lie Theory, 29, 2, 493-510 Journal of Lie Theory, 29, 2, 493-510 Journal of Lie Theory, 29, 2, 493-510 2019/05 Refereed English Research paper(scientific journal) Disclose to all
Yosuke Morita 森田 陽介 Yosuke Morita A cohomological obstruction to the existence of compact Clifford-Klein forms A cohomological obstruction to the existence of compact Clifford-Klein forms A cohomological obstruction to the existence of compact Clifford-Klein forms Selecta Mathematica, New Series, 23, 3, 1931-1953 Selecta Mathematica, New Series, 23, 3, 1931-1953 Selecta Mathematica, New Series, 23, 3, 1931-1953 2017/06 Refereed English Research paper(scientific journal) Disclose to all
Yosuke Morita 森田 陽介 Yosuke Morita Homogeneous spaces of nonreductive type that do not model any compact manifold Homogeneous spaces of nonreductive type that do not model any compact manifold Homogeneous spaces of nonreductive type that do not model any compact manifold Publications of the Research Institute for Mathematical Sciences, 53, 2, 287-298 Publications of the Research Institute for Mathematical Sciences, 53, 2, 287-298 Publications of the Research Institute for Mathematical Sciences, 53, 2, 287-298 2017/05 Refereed English Research paper(scientific journal) Disclose to all
Yosuke Morita 森田 陽介 Yosuke Morita A topological necessary condition for the existence of compact Clifford-Klein forms A topological necessary condition for the existence of compact Clifford-Klein forms A topological necessary condition for the existence of compact Clifford-Klein forms Journal of Differential Geometry, 100, 3, 533-545 Journal of Differential Geometry, 100, 3, 533-545 Journal of Differential Geometry, 100, 3, 533-545 2015/07 Refereed English Research paper(scientific journal) Disclose to all
Yosuke Morita 森田 陽介 Yosuke Morita Semisimple symmetric spaces without compact manifolds locally modelled thereon Semisimple symmetric spaces without compact manifolds locally modelled thereon Semisimple symmetric spaces without compact manifolds locally modelled thereon Proceedings of the Japan Academy, Series A, Mathematical Sciences, 91, 2, 29-33 Proceedings of the Japan Academy, Series A, Mathematical Sciences, 91, 2, 29-33 Proceedings of the Japan Academy, Series A, Mathematical Sciences, 91, 2, 29-33 2015/02 Refereed English Research paper(scientific journal) Disclose to all
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Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment Disclose
A generalization of the ping-pong lemma A generalization of the ping-pong lemma A generalization of the ping-pong lemma Workshop on "Actions of Reductive Groups and Global Analysis" 2019 リー群の群作用と大域解析に関するセミナー2019 Workshop on "Actions of Reductive Groups and Global Analysis" 2019 2019/08/21 Japanese Oral presentation(general) Disclose to all
Cartan projections of abelian horospherical subgroups and proper actions on homogeneous spaces[Invited] Cartan projections of abelian horospherical subgroups and proper actions on homogeneous spaces [Invited] Cartan projections of abelian horospherical subgroups and proper actions on homogeneous spaces [Invited] Developments in Representation Theory and Related Topics 表現論とその周辺分野の進展 Developments in Representation Theory and Related Topics 2019/07/09 Japanese Oral presentation(general) Disclose to all
Geometry of Clifford-Klein forms of homogeneous spaces[Invited] 等質空間の Clifford-Klein 形の幾何学 [Invited] Geometry of Clifford-Klein forms of homogeneous spaces [Invited] Special Lectures on Geometry 2 / Special Lectures on Advanced Geometry 2 (intensive course, 10 lectures, 8-12 October) 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) Special Lectures on Geometry 2 / Special Lectures on Advanced Geometry 2 (intensive course, 10 lectures, 8-12 October) 2018/10 Japanese Public discourse, seminar, tutorial, course, lecture and others Disclose to all
On the cohomology of compact quotients of non-Riemannian homogeneous spaces[Invited] 非 Riemann 等質空間のコンパクト商のコホモロジー [Invited] On the cohomology of compact quotients of non-Riemannian homogeneous spaces [Invited] The Mathematical Society of Japan Autumn Meeting 2018 (invited talk, session: Geometry). 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) The Mathematical Society of Japan Autumn Meeting 2018 (invited talk, session: Geometry). 2018/09/24 Japanese Oral presentation(invited, special) Disclose to all
Cohomological obstructions to the existence of compact Clifford-Klein forms[Invited] Cohomological obstructions to the existence of compact Clifford-Klein forms [Invited] Cohomological obstructions to the existence of compact Clifford-Klein forms [Invited] Seminar (Korea Institute of Advanced Study, 2 talks, 24-25 July) Seminar(Korea Institute of Advanced Study、全2回、7月24日-25日) Seminar (Korea Institute of Advanced Study, 2 talks, 24-25 July) 2018/07 English Oral presentation(general) Disclose to all
Cohomology of Clifford-Klein forms of homogeneous spaces[Invited] 等質空間の Clifford-Klein 形のコホモロジーについて [Invited] Cohomology of Clifford-Klein forms of homogeneous spaces [Invited] Workshop: New Developments in Geometric Group Theory ワークショップ:幾何学的群論の新展開 Workshop: New Developments in Geometric Group Theory 2018/02/06 Japanese Oral presentation(general) Disclose to all
Compact quotients of homogeneous spaces of reductive type and invariants 簡約型等質空間のコンパクト商と不変式 Compact quotients of homogeneous spaces of reductive type and invariants Symposium on Representation Theory 2017 2017年度表現論シンポジウム Symposium on Representation Theory 2017 2017/11/29 Japanese Oral presentation(general) Disclose to all
The existence problem of compact Clifford-Klein forms[Invited] The existence problem of compact Clifford-Klein forms [Invited] The existence problem of compact Clifford-Klein forms [Invited] Rigidity School, Nagoya 2017 (4 talks, 23-26 November) Rigidity School, Nagoya 2017(全4回、11月23日-26日) Rigidity School, Nagoya 2017 (4 talks, 23-26 November) 2017/11 English Oral presentation(invited, special) Disclose to all
Cohomology of Clifford-Klein forms of homogeneous spaces 等質空間の Clifford-Klein 形のコホモロジーについて Cohomology of Clifford-Klein forms of homogeneous spaces Hiroshima Geometry Conference 2017 広島幾何学研究集会 2017 Hiroshima Geometry Conference 2017 2017/10/05 Japanese Oral presentation(general) Disclose to all
A cohomological obstruction to the existence of compact Clifford-Klein forms[Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] The Third Japanese-Spanish Workshop on Differential Geometry The Third Japanese-Spanish Workshop on Differential Geometry The Third Japanese-Spanish Workshop on Differential Geometry 2017/09/18 English Oral presentation(general) Disclose to all
Real cohomology of compact homogeneous spaces (after Cartan-Chevalley-Koszul-Weil) Real cohomology of compact homogeneous spaces (after Cartan-Chevalley-Koszul-Weil) Real cohomology of compact homogeneous spaces (after Cartan-Chevalley-Koszul-Weil) Workshop on "Actions of Reductive Groups and Global Analysis" (3 talks, 16-18 August) 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) Workshop on "Actions of Reductive Groups and Global Analysis" (3 talks, 16-18 August) 2017/08 Japanese Oral presentation(general) Disclose to all
Proper actions on homogeneous spaces[Invited] 等質空間上の固有な作用 [Invited] Proper actions on homogeneous spaces [Invited] Colloquium (Kyoto University) 談話会(京都大学) Colloquium (Kyoto University) 2017/06/21 Japanese Oral presentation(general) Disclose to all
Cohomology of Clifford-Klein forms of homogeneous spaces[Invited] 等質空間の Clifford-Klein 形のコホモロジーについて [Invited] Cohomology of Clifford-Klein forms of homogeneous spaces [Invited] Geometry Seminar (Nagoya University) 幾何学セミナー(名古屋大学) Geometry Seminar (Nagoya University) 2017/05/30 Japanese Oral presentation(general) Disclose to all
A cohomological obstruction to the existence of compact Clifford-Klein forms of homogeneous spaces[Invited] 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] A cohomological obstruction to the existence of compact Clifford-Klein forms of homogeneous spaces [Invited] Differential Topology Seminar (Kyoto University) 微分トポロジーセミナー(京都大学) Differential Topology Seminar (Kyoto University) 2017/05/09 Japanese Oral presentation(general) Disclose to all
Homogeneous spaces that do not model any compact manifold[Invited] Homogeneous spaces that do not model any compact manifold [Invited] Homogeneous spaces that do not model any compact manifold [Invited] Representation Theory Seminar (Kyoto University) 表現論セミナー(京都大学) Representation Theory Seminar (Kyoto University) 2017/04/14 Japanese Oral presentation(general) Disclose to all
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 and ε-family of semisimple symmetric spaces A cohomological obstruction to the existence of compact Clifford-Klein forms and ε-family of semisimple symmetric spaces Symposium on Representation Theory 2016 2016年度表現論シンポジウム Symposium on Representation Theory 2016 2016/11/30 Japanese Oral presentation(general) Disclose to all
A cohomological obstruction to the existence of compact Clifford-Klein forms[Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] International Conference for the 70th Anniversary of Korean Mathematical Society (session: Geometric Group Theory and Dynamics of Group Actions) International Conference for the 70th Anniversary of Korean Mathematical Society (session: Geometric Group Theory and Dynamics of Group Actions) International Conference for the 70th Anniversary of Korean Mathematical Society (session: Geometric Group Theory and Dynamics of Group Actions) 2016/10/22 English Oral presentation(general) Disclose to all
A cohomological obstruction to the existence of compact Clifford-Klein forms A cohomological obstruction to the existence of compact Clifford-Klein forms A cohomological obstruction to the existence of compact Clifford-Klein forms Group Actions and Dynamics Seminar (Yale University) Group Actions and Dynamics Seminar (Yale University) Group Actions and Dynamics Seminar (Yale University) 2016/09/12 English Oral presentation(general) Disclose to all
A cohomological obstruction to the existence of compact Clifford-Klein forms[Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] The 63rd Geometry Symposium in Japan 第63回幾何学シンポジウム The 63rd Geometry Symposium in Japan 2016/08/27 Japanese Oral presentation(general) Disclose to all
A cohomological obstruction to the existence of compact Clifford-Klein forms[Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] Rigidity School, Nagoya 2016 Rigidity School, Nagoya 2016 Rigidity School, Nagoya 2016 2016/07/26 English Oral presentation(general) Disclose to all
A cohomological obstruction to the existence of compact Clifford-Klein forms[Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] Geometry and Topology Seminar (University of Luxembourg) Geometry and Topology Seminar (University of Luxembourg) Geometry and Topology Seminar (University of Luxembourg) 2016/06/06 English Oral presentation(general) Disclose to all
A cohomological obstruction to the existence of compact Clifford-Klein forms[Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] A cohomological obstruction to the existence of compact Clifford-Klein forms [Invited] Geometric Analysis on Discrete Groups Geometric Analysis on Discrete Groups Geometric Analysis on Discrete Groups 2016/05/30 English Oral presentation(general) Disclose to all
Obstructions to the existence of compact manifolds locally modelled on homogeneous spaces 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 Obstructions to the existence of compact manifolds locally modelled on homogeneous spaces The Mathematical Society of Japan Spring Meeting 2016 (session: Geometry) 日本数学会2016年度年会(幾何学分科会、一般講演) The Mathematical Society of Japan Spring Meeting 2016 (session: Geometry) 2016/03/17 Japanese Oral presentation(general) Disclose to all
Cohomological obstructions to the existence of compact Clifford-Klein forms Cohomological obstructions to the existence of compact Clifford-Klein forms Cohomological obstructions to the existence of compact Clifford-Klein forms Berkeley-Tokyo Winter School "Geometry, Topology and Representation Theory" (student session) Berkeley-Tokyo Winter School "Geometry, Topology and Representation Theory"(学生セッション) Berkeley-Tokyo Winter School "Geometry, Topology and Representation Theory" (student session) 2016/02/15 English Oral presentation(general) Disclose to all
On the existence problem of compact Clifford-Klein forms コンパクト Clifford-Klein 形の存在問題について On the existence problem of compact Clifford-Klein forms Symposium on Representation Theory 2015 2015年度表現論シンポジウム Symposium on Representation Theory 2015 2015/11/18 English Oral presentation(general) Disclose to all
Homogeneous spaces locally modelling no compact manifold[Invited] Homogeneous spaces locally modelling no compact manifold [Invited] Homogeneous spaces locally modelling no compact manifold [Invited] The 15th Kanto Young Geometers' Seminar 第15回関東若手幾何セミナー The 15th Kanto Young Geometers' Seminar 2015/10/03 Japanese Oral presentation(general) Disclose to all
A new cohomological obstruction to the existence of compact Clifford-Klein forms A new cohomological obstruction to the existence of compact Clifford-Klein forms A new cohomological obstruction to the existence of compact Clifford-Klein forms Workshop on "Actions of Reductive Groups and Global Analysis" リー群の群作用と大域解析セミナー Workshop on "Actions of Reductive Groups and Global Analysis" 2015/08/08 Japanese Oral presentation(general) Disclose to all
Proper actions on corank-one reductive homogeneous spaces (after Kassel) Proper actions on corank-one reductive homogeneous spaces (after Kassel) Proper actions on corank-one reductive homogeneous spaces (after Kassel) Workshop on "Actions of Reductive Groups and Global Analysis" (2 talks, 4-5 August) 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) Workshop on "Actions of Reductive Groups and Global Analysis" (2 talks, 4-5 August) 2015/08 Japanese Oral presentation(general) Disclose to all
Cohomological obstructions to the existence of compact Clifford-Klein forms Cohomological obstructions to the existence of compact Clifford-Klein forms Cohomological obstructions to the existence of compact Clifford-Klein forms Mathematical Symposium ENS Lyon-Todai (poster session) Mathematical Symposium ENS Lyon-Todai(ポスターセッション) Mathematical Symposium ENS Lyon-Todai (poster session) 2015/06/24 English Poster presentation Disclose to all
A topological obstruction to the existence of compact quotients of homogeneous spaces 等質空間がコンパクト商を持つための位相的制約 A topological obstruction to the existence of compact quotients of homogeneous spaces The Mathematical Society of Japan Spring Meeting 2015 (Session: Functional Analysis) 日本数学会2015年度年会(函数解析学分科会、一般講演) The Mathematical Society of Japan Spring Meeting 2015 (Session: Functional Analysis) 2015/03/23 Japanese Oral presentation(general) Disclose to all
Volume forms and compact Clifford-Klein forms[Invited] Volume forms and compact Clifford-Klein forms [Invited] Volume forms and compact Clifford-Klein forms [Invited] Workshop "Deformations of Discrete Groups and Related Topics" ワークショップ「不連続群の変形とその周辺」 Workshop "Deformations of Discrete Groups and Related Topics" 2015/02/17 English Oral presentation(general) Disclose to all
A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces[Invited] A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces [Invited] A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces [Invited] 2015 East Asian Core Doctorial Forum on Mathematics 2015 East Asian Core Doctorial Forum on Mathematics 2015 East Asian Core Doctorial Forum on Mathematics 2015/01/20 English Oral presentation(general) Disclose to all
An obstruction for the existence of compact manifolds locally modelled on homogeneous spaces[Invited] 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] An obstruction for the existence of compact manifolds locally modelled on homogeneous spaces [Invited] Topology-Geometry Seminar 広島大学トポロジー・幾何セミナー Topology-Geometry Seminar 2014/12/02 Japanese Oral presentation(general) Disclose to all
A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces[Invited] A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces [Invited] A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces [Invited] Rigidity School, Tokyo 2014 (2nd) Rigidity School, Tokyo 2014 (2nd) Rigidity School, Tokyo 2014 (2nd) 2014/11/22 English Oral presentation(general) Disclose to all
A survey on Y. Benoist "Actions propres sur les espaces homogènes réductifs", Chapitre 4 Y. Benoist "Actions propres sur les espaces homogènes réductifs" Chapitre 4 の解説 A survey on Y. Benoist "Actions propres sur les espaces homogènes réductifs", Chapitre 4 Workshop on Representation Theory and Group Actions of Lie Groups リー群の表現論と群作用についての研究会 Workshop on Representation Theory and Group Actions of Lie Groups 2014/08/30 Japanese Oral presentation(general) Disclose to all
A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces[Invited] A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces [Invited] A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces [Invited] The 61st Geometry Symposium in Japan 第61回幾何学シンポジウム The 61st Geometry Symposium in Japan 2014/08/26 Japanese Oral presentation(general) Disclose to all
A topological obstruction for the existence of compact quotients of homogeneous spaces of reductive type 等質空間がコンパクト商を持つための位相的制約 A topological obstruction for the existence of compact quotients of homogeneous spaces of reductive type New Developments of Representation Theory and Harmonic Analysis 表現論と調和解析の新たな進展 New Developments of Representation Theory and Harmonic Analysis 2014/06/25 Japanese Oral presentation(general) Disclose to all
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 A topological obstruction for the existence of compact quotients of homogeneous spaces of reductive type Symposium on Representation Theory 2013 2013年度表現論シンポジウム Symposium on Representation Theory 2013 2013/11/27 Japanese Oral presentation(general) Disclose to all

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External funds: competitive funds and Grants-in-Aid for Scientific Research (Kakenhi)
Type Position Title(Japanese) Title(English) Period
研究活動スタート支援 Representative 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 2017/08/25-2019/03/31
特別研究員奨励費 Representative 指数定理と余随伴軌道に関する研究 2014/04/25-2017/03/31
研究活動スタート支援 Representative 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 (平成29年度分) 2017/04/01-2018/03/31
研究活動スタート支援 Representative 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 (平成30年度分) 2018/04/01-2019/03/31
若手研究 Representative Clifford-Klein形とDolbeaultコホモロジー Clifford-Klein forms and Dolbeault cohomology 2019/04/01-2023/03/31
Teaching subject(s)
Name(Japanese) Name(English) Term Department Period
幾何学演義I Exercises in Geometry I 前期 理学部 2018/04-2019/03
微分積分学(講義・演義)A Calculus with Exercises A 前期 全学共通科目 2018/04-2019/03
微分積分学(講義・演義)B Calculus with Exercises B 後期 全学共通科目 2018/04-2019/03
幾何学演義I Exercises in Geometry I 前期 理学部 2019/04-2020/03
微分積分学(講義・演義)A Calculus with Exercises A 前期 全学共通科目 2019/04-2020/03
微分積分学(講義・演義)B Calculus with Exercises B 後期 全学共通科目 2019/04-2020/03