Yosuke KUBOTA

Researcher in iTHEMS, RIKEN
Room 231, Main Research Building.
email: yosuke.kubota at riken.jp
(or ykubota414 at gmail.com)

Schedule

Please see my Google Calendar .


Affiliation

Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) in RIKEN.
2-1 Hirosawa, Wako, Saitama 351-0198, Japan.
The RIKEN access page


Research Area

  • Index theory
  • K-theory
  • Operator algebra

Keywords: KK-theory, twisted K-theory, Atiyah-Singer index theorem, Baum-Connes conjecture, topological insulators, group actions on C*-algebras.


I am interested in Index theory, an area of mathematics originating in the Atiyah-Singer index theorem, from both topological and analytical perspectives. I am basically working on one of its modern developments; Noncommutative Geometry. In this context, I am also interested in C*-algebras, discrete groups, representation theory and condensed matter physics.

Curriculum Vitae

My portrait: Drawn at the Christmas market in Goettingen, winter 2013

Nov. 1989 Born in Ehime, Japan

Education

Mar. 2012 Bachelor of Sciences, the University of Tokyo
Mar. 2014 Master of Mathematical Sciences, the University of Tokyo
(Advisor: Yasuyuki Kawahigashi)
Mar. 2017 Ph.D in Mathematical Science, the University of Tokyo
(Advisor: Yasuyuki Kawahigashi)

Employment

Nov. 2012 - Mar. 2017 FMSP fellow
Apr. 2014 - Mar. 2017 JSPS Fellow (DC1)
Apr. 2017 - Researcher in iTHMEMS, RIKEN

Papers

  1. The joint spectral flow and localization of the indices of elliptic operators
    Annals of K-theory, 1 (1) (2016), 43-83. [arXiv:1410.5569]
  2. Notes on twisted equivariant K-theory for C*-algebras
    International Journal of Mathematics, 27 (6) (2016). [arXiv:1511.05312]
  3. Controlled topological phases and bulk-edge correspondence
    Communications in Mathematical Physics, 349 (2) (2017), 493–525. [arXiv:1511.05314]
  4. Compact Lie group actions with the continuous Rokhlin property
    With Yuki Arano
    Journal of Functional Analysis 272 (2017), no. 2, 522–545. [arXiv:1512.06333]
  5. A categorical perspective on the Atiyah-Segal completion theorem in KK-theory
    With Yuki Arano
    Journal of Noncommutative geometry 12 (2018), Issue 2, pp. 779-821. [arXiv:1508.06815]
  6. A Categorical Approach for Freeness of Group Actions on C*-algebras
    Ph.D thesis.
  7. Reconstructing the Bost--Connes semigroup actions from K-theory
    With Takuya Takeishi
    Preprint. [arXiv:1709.03281]
  8. The relative Mishchenko-Fomenko higher index and almost flat bundles
    Preprint. [arXiv:1807.03181]

Talks

2018

  1. Reconstructing the Bost-Connes semigroup actions from K-theory III,
    Workshop on Operator theory and operator algebras 2018, Shizuoka university, Shizuoka. 16 Dec. 2018.
  2. Relative higher index and almost flat bundles,
    Research meeting on the relative higher index class, Regensburg university, Regensburg. 8 Oct. 2018.
  3. The relative higher index and geometry,
    K-theory and index theory, Kyoto University, Kyoto. 9 Aug. 2018.
  4. Reconstructing the Bost-Connes semigroup actions from K-theory,
    Workshop on Noncommutative Geometry and Representation Theory, Sichuan University, Chengdu. 14 May. 2018.
  5. Relative higher index and almost flat bundles,
    Noncommutative Geometry and K-Theory at Rits -The Fourth China-Japan Conference-, Ritsumeikan University, Kyoto. 27 Mar. 2018.
  6. Relative higher index and almost flat bundles,
    Gauge theory in Fukuoka, Kyushu University, Fukuoka. 16 Feb. 2018.
  7. The bulk-edge correspondence for topological phases via coarse geometry,
    RIMS workshop: Mathematical research of topological phases, RIMS, Kyoto. 25 Jan. 2018.
  8. Twisted equivariant K-theory for C*-algebras,
    RIMS workshop: Mathematical research of topological phases, RIMS, Kyoto. 24 Jan. 2018.
Close

2017

  1. Topology of linear operators and topological insulators,
    Suuri-Cool seminar, Kyoto University, Kyoto. 27 Dec. 2017.
  2. A mathematical formulation of topological phases via coarse geometry,
    11th Joint Research Meeting of MEXT National Projects on Condensed-Matter Science, The Institute for Solid State Physics, the University of Tokyo, Chiba. 16 Nov. 2017.
  3. KK-theory and its use,
    Junior Meeting on Functional Analysis, Nara Women's University, Nara. 29 Aug. 2017.
  4. Dualizing the relative higher index and almost flat bundles,
    Boston University/Keio University Workshop 2017, Boston University, Boston. 29 Jun. 2017.
  5. Reconstruction of the Bost-Connes groupoid from K-theoretic data,
    Operator algebra seminars, the University of Tokyo, Tokyo. 10 Apr. 2017.
  6. An Operator algebraic approach to topological phases I,II,
    2017 Symposium on Spectral and Scattering Theories in Matsumoto, Sinshu University, Nagano. 7 Jan. 2017.
Close

2016

  1. Compact Lie group actions on C*-algebras with the continuous Rokhlin property,
    Kyoto Operator Algebra Seminar, RIMS, Kyoto. 20 Dec. 2016.
  2. Classification of topological phases via coarse topology,
    IGA/AMSI Workshop: Topological Matter, Strings, K-theory and related areas, Adelaide University, Adelaide. 26 Sep. 2016.
  3. Compact Lie group actions on C*-algebras with the continuous Rokhlin property,
    RIMS workshop: Recent development in Operator algebras, RIMS, Kyoto. 12 Sep. 2016.
  4. Representation theory and noncommutative geometry,
    Junior Meeting on Functional Analysis, Kusatsu, Shiga. 26 Aug. 2016.
  5. Compact Lie group actions on C*-algebras with the continuous Rokhlin property,
    Operator algebra seminars, the University of Tokyo, Tokyo. 30 May. 2016.
  6. Twisted equivariant K-theory and topological phases,
    Spectral theory of novel materials, CIRM, Marceille. 19 Apr. 2016.
  7. Compact group actions with continuous Rokhlin property,
    Noncommutative Geometry Seminar, Penn. State University, Pennsylvania. 21 Jan. 2016.
  8. A categorical perspective on the Atiyah-Segal completion theorem in KK-theory,
    Noncommutative Geometry Seminar, Penn. State University, Pennsylvania. 14 Jan. 2016.
Close

2015

  1. Controlled topological phases and bulk-edge correspondence I, II,
    Mathematical Approach to Topological Phases in Spintronics, AIMR, Miyagi. 5 Oct. 2015.
  2. A categorical perspective on the Atiyah-Segal completion theorem in KK-theory,
    Differential Geometry and Topology Seminar, Keio University, Kanagawa. 28 Sep. 2015.
  3. Topological phases via coarse geometry,
    Group actions and metric embeddings, RIMS, Kyoto. 10 Sep. 2015.
  4. Compact Lie group actions with continuous Rokhlin property,
    Junior Meeting on Functional Analysis, Karuizawa, Nagano. 4 Sep. 2015.
  5. Co-assembly maps and finiteness of K-area,
    Geometry seminar, Tohoku University, Miyagi. 21 Jul. 2015.
  6. Controlled topological phases and the bulk-edge correspondence for topological insulators,
    Operator Algebra Seminars, the University of Tokyo, Tokyo. 13 May. 2015.
  7. Bulk-edge correspondence via coarse geometry, Controlled topological phases,
    Kagurazaka workshop "Topological insulators and K-theory", Tokyo University of Science, Tokyo. 10 May. 2015.
  8. Bulk-edge correspondence via coarse geometry I,II,
    Mini-workshop on topological states, Tohoku University, Miyagi. 24 Mar. 2015.
  9. A categorical approach to Atiyah-Segal completion theorem,
    Spring Meeting of the Mathematical Society of Japan, Meiji University, Toyo. 23 Mar. 2015.
  10. An introduction to the Baum-Connes conjecture,
    Young meeting on Noncommutative Geometry, Nagoya University, Aichi. 9 Mar. 2015.
Close

2014

  1. The joint spectral flow and localization of the Riemann-Roch number,
    Geometry for Quantization, Waseda University, Tokyo. 19 Dec. 2014.
  2. The Atiyah-Segal completion theorem in noncommutative topology,
    Tuesday Seminar on Topology, the University of Tokyo, Tokyo. 12 Dec. 2014.
  3. Homological algebra of KK-theory and the Atiyah-Segal completion theorem,
    Differential Topology Seminar, Kyoto University, Kyoto. 11 Nov. 2014.
  4. The Atiyah-Segal completion theorem in KK-theory: a categorical approach,
    The Second China-Japan Conference on Noncommutative Geometry and K-Theory, Naha university, Okinawa. 4 Oct. 2014.
  5. On the relative Baum-Connes assembly map,
    Junior Meeting on Functional Analysis, Gujo, Gihu. 23 Aug. 2014.
  6. The joint spectral flow and localization of the indices of elliptic operators,
    Topology symposium, Tohoku University, Miyagi. 27 Jul. 2014.
  7. A generalizeation of the spectral flow,
    FMSP student session, the University of Tokyo, Tokyo. 19 Jul. 2014.
  8. Finiteness of K-area and the dual of the Baum-Connes conjecture,
    Operator Algebra Seminars, the University of Tokyo, Tokyo. 11 Jun. 2014.
  9. Finiteness of K-area and the dual of the Baum-Connes conjecture,
    Geometry Seminars, Osaka University, Osaka. 9 Jun. 2014.
  10. The joint spectral flow and localization of the indices of elliptic operators,
    Geometry Seminars, Meiji University, Kanagawa. 14 May. 2014.
Close

2013

  1. Joint spectral flow and localization of index,
    Kanto Young Geometers' Seminar, Tokyo Institute of Technology, Tokyo. 19 Oct. 2013.
  2. Joint spectral flow and localization of index,
    Operator Algebra Seminars, the University of Tokyo, Tokyo. 1 Sep. 2013.
Close

2012

  1. On the continuous-trace C*-algebras,
    Junior Meeting on Functional Analysis, Sendai, Miyagi. 30 Sep. 2012.
Close

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