Talks


Future


April 2023 —

  1. The existence problem of compact quotients of pseudo-Riemannian homogeneous spaces.
    Zariski dense subgroups, number theory and geometric applications, International Centre for Theoretical Sciences (Bengaluru, India), 1 January 2024.
  2. The existence problem of compact quotients of homogeneous spaces.
    Séminaire Géométrie Topologie Dynamique, Université Paris-Saclay (Orsay, France), 23 November 2023.
  3. The existence problem of compact quotients of homogeneous spaces.
    Séminaire Géométrie et applications, Université de Strasbourg (Strasbourg, France), 20 November 2023.
  4. The existence problem of compact Clifford-Klein forms of pseudo-Riemannian homogeneous spaces.
    7th Tunisian—Japanese Conference "Geometric and Harmonic Analysis on Homogeneous Spaces and Applications" in Honor of Professor Toshiyuki Kobayashi, Iberostar Selection Kuriat Palace (Monastir, Tunisia), 2 November 2023.
  5. On non-Riemannian homogeneous spaces that do not have compact quotients.
    The 62nd Real Analysis and Functional Analysis Joint Symposium, Chiba University, 29 August 2023.
  6. Sphere bundles, KO-theory, and vector fields on spheres (after Adams).
    Workshop on "Actions of Reductive Groups and Global Analysis", Tambara International Seminar House (online), 20 August 2023.
  7. On the definition of Conley indices.
    Geometry and Topology, Kyushu University, 30 June 2023.
  8. Conley index theory and condensed sets.
    Arbeitstagung 2023 on Condensed Mathematics, Max Planck Institute for Mathematics (Bonn, Germany), 19 June 2023.
  9. Geometry of Clifford—Klein forms of non-Riemannian homogeneous spaces.
    Colloquium (Faculty of Mathematics), Kyushu University, 25 May 2023.
  10. On a new formulation of Conley index theory.
    Geometry—Topology Joint Seminar, Kyushu University, 28 April 2023.

April 2022 — March 2023

  1. A new framework for Conley index theory.
    Low dimensional topology and number theory XIV, Kyushu University, 29 March 2023.
  2. Morse theory on the loop spaces of Lie groups and manifolds with hyperpolar actions (after Bott, Bott—Samelson, Conlon).
    Workshop on "Actions of Reductive Groups and Global Analysis", Tambara International Seminar House (online), 17 August 2022.

April 2021 — March 2022

  1. On the definition of Conley indices.
    Lie Groups and Representation Theory Seminar, the University of Tokyo (online), 14 December 2021.
  2. The Conley index of topological dynamical systems.
    iTHEMS Math Seminar, iTHEMS, RIKEN (online), 3 December 2021.
  3. Conley index theory without index pairs.
    Kyoto Dynamical Systems Seminar, Kyoto University (online), 5 November 2021.
  4. The existence problem of compact quotients of non-Riemannian homogeneous spaces.
    The 68th Geometry Symposium in Japan, Hokkaido University (online), 2 September 2021 (plenary talk).
  5. On Conley indices.
    Workshop on "Actions of Reductive Groups and Global Analysis", Tambara International Seminar House (online), 18 August 2021.
  6. Cartan projections of some nonreductive closed subgroups and compact quotients of homogeneous spaces.
    Lie theory, representation theory and related areas, RIMS, Kyoto University (online), 11 August 2021.
  7. Cartan projections of some nonreductive subgroups and the existence problem of compact Clifford—Klein forms.
    Lie Groups and Representation Theory Seminar, the University of Tokyo (online), 22 June 2021.

April 2020 — March 2021

  1. Compact Clifford—Klein forms and sphere bundles.
    Workshop on "Actions of Reductive Groups and Global Analysis", online (Tambara International Seminar House), 19 August 2020.

April 2019 — March 2020

  1. Cartan projections of some nonreductive subgroups.
    Séminaire de Mathématique, Institut des Hautes Études Scientifiques (Bures-sur-Yvette, France), 28 January 2020.
  2. A generaization of the ping-pong lemma.
    Workshop on "Actions of Reductive Groups and Global Analysis" 2019, Tambara International Seminar House, 21 August 2019.
  3. Cartan projections of abelian horospherical subgroups and proper actions on homogeneous spaces.
    Developments in Representation Theory and Related Topics, RIMS, Kyoto University, 9 July 2019.

April 2018 — March 2019

  1. Geometry of Clifford—Klein forms of homogeneous spaces.
    Special Lectures on Geometry 2 / Special Lectures on Advanced Geometry 2, Tokyo Metropolitan University, 8—12 October 2018 (intensive course, 10 lectures).
  2. On the cohomology of compact quotients of non-Riemannian homogeneous spaces.
    The Mathematical Society of Japan Autumn Meeting 2018, Okayama University, 24 September 2018 (invited talk, session: Geometry).
  3. Cohomological obstructions to the existence of compact Clifford—Klein forms.
    Seminar, Korea Institute for Advanced Study (Seoul, Korea), 24—25 July 2018 (2 talks).

April 2017 — March 2018

  1. Cohomology of Clifford—Klein forms of homogeneous spaces.
    Workshop: New Developments in Geometric Group Theory, Ito, 6 February 2018.
  2. Compact quotients of homogeneous spaces of reductive type and invariants.
    Symposium on Representation Theory 2017, Isawa, 29 November 2017.
  3. The existence problem of compact Clifford—Klein forms.
    Rigidity School, Nagoya 2017, Nagoya University, 23—26 November 2017 (4 talks).
  4. Cohomology of Clifford—Klein forms of homogeneous spaces.
    Hiroshima Geometry Conference 2017, Hiroshima University, 5 October 2017.
  5. A cohomological obstruction to the existence of compact Clifford—Klein forms.
    The Third Japanese—Spanish Workshop on Differential Geometry, Instituto de Ciencias Matemáticas (Madrid, Spain), 18 September 2017.
  6. Real cohomology of compact homogeneous spaces (after Cartan—Chevalley—Koszul—Weil).
    Workshop on "Actions of Reductive Groups and Global Analysis", Tambara International Seminar House, 16—18 August 2017 (3 talks).
  7. Proper actions on homogeneous spaces.
    Colloquium, RIMS, Kyoto University, 21 June 2017.
  8. Cohomology of Clifford—Klein forms of homogeneous spaces.
    Geometry Seminar, Nagoya University, 30 May 2017.
  9. A cohomological obstruction to the existence of compact Clifford—Klein forms of homogeneous spaces.
    Differential Topology Seminar, Kyoto University, 9 May 2017.
  10. Homogeneous spaces that do not model any compact manifold.
    Representation Theory Seminar, RIMS, Kyoto University, 14 April 2017.

April 2016 — March 2017

  1. A cohomological obstruction to the existence of compact Clifford—Klein forms and ε-family of semisimple symmetric spaces.
    Symposium on Representation Theory 2016, Okinawa, 30 November 2016.
  2. A cohomological obstruction to the existence of compact Clifford—Klein forms.
    International Conference for the 70th Anniversary of Korean Mathematical Society, Seoul National University (Seoul, Korea), 22 October 2016 (session: Geometric Group Theory and Dynamics of Group Actions).
  3. A cohomological obstruction to the existence of compact Clifford—Klein forms.
    Group Actions and Dynamics Seminar, Yale University (New Haven, USA), 12 September 2016.
  4. A cohomological obstruction to the existence of compact Clifford—Klein forms.
    The 63rd Geometry Symposium in Japan, Okayama University, 27 August 2016.
  5. A cohomological obstruction to the existence of compact Clifford—Klein forms.
    Rigidity School, Nagoya 2016, Nagoya University, 26 July 2016.
  6. A cohomological obstruction to the existence of compact Clifford—Klein forms.
    Geometry and Topology Seminar, University of Luxembourg (Luxembourg), 6 June 2016.
  7. A cohomological obstruction to the existence of compact Clifford—Klein forms.
    Geometric Analysis on Discrete Groups, RIMS, Kyoto University, 30 May 2016.

April 2015 — March 2016

  1. Obstructions to the existence of compact manifolds locally modelled on homogeneous spaces.
    The Mathematical Society of Japan Spring Meeting 2016, University of Tsukuba, 17 March 2016 (session: Geometry).
  2. Cohomological obstructions to the existence of compact Clifford—Klein forms.
    Berkeley—Tokyo Winter School "Geometry, Topology and Representation Theory", University of California, Berkeley (Berkeley, USA), 15 February 2016 (student session).
  3. On the existence problem of compact Clifford—Klein forms.
    Symposium on Representation Theory 2015, Izunokuni, 18 November 2015.
  4. Homogeneous spaces locally modelling no compact manifold.
    The 15th Kanto Young Geometers' Seminar, Keio University, 3 October 2015.
  5. A new cohomological obstruction to the existence of compact Clifford—Klein forms.
    Workshop on "Actions of Reductive Groups and Global Analysis", Tambara International Seminar House, 8 August 2015.
  6. Proper actions on corank-one reductive homogeneous spaces (after Kassel).
    Workshop on "Actions of Reductive Groups and Global Analysis", Tambara International Seminar House, 4—5 August 2015 (2 talks).
  7. Cohomological obstructions to the existence of compact Clifford—Klein forms.
    Mathematical Symposium ENS Lyon—Todai, ENS de Lyon (Lyon, France), 24 June 2015 (poster session).

April 2014 — March 2015

  1. A topological obstruction to the existence of compact quotients of homogeneous spaces.
    The Mathematical Society of Japan Spring Meeting 2015, Meiji University, 23 March 2015 (session: Functional Analysis).
  2. Volume forms and compact Clifford—Klein forms.
    Workshop "Deformations of Discrete Groups and Related Topics", Nagoya University, 17 February 2015.
  3. A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces.
    2015 East Asian Core Doctorial Forum on Mathematics, National Taiwan University (Taipei, Taiwan), 20 January 2015.
  4. An obstruction for the existence of compact manifolds locally modelled on homogeneous spaces.
    Topology—Geometry Seminar, Hiroshima University, 2 December 2014.
  5. A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces.
    Rigidity School, Tokyo 2014 (2nd), the University of Tokyo, 22 November 2014.
  6. A survey on Y. Benoist "Actions propres sur les espaces homogènes réductifs", Chapitre 4.
    Workshop on Representation Theory and Group Actions of Lie Groups, Tambara International Seminar House, 30 August 2014.
  7. A necessary condition for the existence of compact manifolds locally modelled on homogeneous spaces.
    The 61st Geometry Symposium in Japan, Meijo University, 26 August 2014.
  8. A topological obstruction for the existence of compact quotients of homogeneous spaces.
    New Developments of Representation Theory and Harmonic Analysis, RIMS, Kyoto University, 25 June 2014.

April 2013 — March 2014

  1. A topological obstruction for the existence of compact quotients of homogeneous spaces of reductive type.
    Symposium on Representation Theory 2013, Miura, 27 November 2013.

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