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J-GLOBAL ID：202101016246518499   Update date: Oct. 09, 2024

Takata Doman

タカタ ドマン | Takata Doman
Affiliation and department：
Niigata University

About Niigata University


Research field  (1)： Geometry
Research keywords  (8)： loop group ,  topological K-theory ,  KK-theory ,  C^*-algebra of a Hilbert manifold ,  global analysis ,  infinite-dimensional manifold ,  index theorem ,  noncommutative geometry
Research theme for competitive and other funds  (4)：
  • 2023 - 2028 Equivariant index theory of infinite-dimensional manifolds and related topics
  • 2021 - 2023 A study on the Witten genus by C*-algebras of Hilbert manifolds
  • 2018 - 2021 Index theorem of infinite-dimensional manifolds and noncommutative geometry
  • 2016 - 2018 表現論を用いた無限次元空間の指数理論
Papers (7)：
  • Doman Takata. An index theorem for loop spaces. Journal of Geometry and Physics. 2024. 206
  • Doman Takata. An infinite-dimensional index theorem and theHigson-Kasparov-Trout algebra. Annals of K-Theory. 2022. 7. 1. 1-76
  • Doman Takata. LT-equivariant index from the viewpoint of KK-theory; Global analysis of Infinite-dimensional Heisenberg Group. Journal of Geometry and Physics. 2020. 150
  • Doman Takata. An analytic LT-equivariant index and noncommutative geometry. Journal of noncommutative geometry. 2019. 13. 2. 553-586
  • Doman Takata. A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds. 2018
ｍore...
MISC (2)：
  • Localized S^1-equivariant index of non-compact manifolds and an analytic counterpart of Witten's equivariant index of loop spaces. 2022
  • 高田土満. FHT 同型とその自然性. 第12回城崎新人セミナー報告集. 2015
Lectures and oral presentations  (34)：
  • ループ空間の指数理論
    (第71回幾何学シンポジウム 2024)
  • ループ空間の指数理論
    (第7回幾何学的群論ワークショップ 2023)
  • An index theorem for loop spaces
    (Japan-Netherlands joint seminar: index theory, operator algebras in topological physics 2023)
  • 同変指数の局所化と形式的べき級数環 ~Witten種数の非可換幾何的定式化に向かって~
    (東京都立大学・ハイブリッド幾何学セミナー 2022)
  • Localized S1-equivariant index of non-compact manifolds and an analytic counterpart of Witten’s equivariant index of loop spaces
    (2022)
ｍore...
Education (2)：
  • 2015 - 2018 Kyoto University Graduate School of Science Division of Mathematics
  • 2013 - 2015 Kyoto University Graduate School of Science Division of Mathematics
Work history (2)：
  • 2021/04 - 現在 Niigata University
  • 2018/04 - 2021/03 The University of Tokyo
Association Membership(s) (1)：
日本数学会
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