This is Toyo Taniguchi's homepage.
This is Toyo Taniguchi's homepage.
Institution: Graduate School of Mathematical Sciences, The University of Tokyo.
Position: Doctor Course
Research Interests: Low dimensional topology, string topology (e.g. the Goldman–Turaev Lie bialgebra), non-commutative geometry (à la Kontsevich and Ginzburg), operads, cohomology theory of algebras over an operad, deformation quantisation, Drinfeld associators, and the Kashiwara–Vergne problem.
Noncommutative divergence and the Turaev cobracket, Algebraic & Geometric Topology, 2025. (arXiv)
Modular vector fields in non-commutative geometry, Journal of Geometry and Physics, 2025. (arXiv)
A family of algebraic operations extending the Turaev cobracket, 2025. (arXiv, to appar in Journal of Noncommutative Geometry.)
The formality of the Goldman–Turaev Lie bialgebra on a closed surface, 2025. (arXiv)
One-dimensionality of certain cocycles for the detection of the Johnson cokernel, 2025. (arXiv)
Drinfeld associators and Kashiwara–Vergne associators in higher genera, 2025. (arXiv)
The framed version of the universal KZB connection in higher genera, 2026. (arXiv)
Divergence maps in non-commutative geometry and their applications in two-dimensional topology, 2025. Master thesis under the supervision of Nariya Kawazumi.
2024/05/21-24: Loop operations and non-commutative differential geometry, in 変換群論とその進展 at RIMS in Kyoto University.
2024/08/26-28: Loop operations and non-commutative geometry, in 空間の代数的・幾何的モデルとその周辺 at Shinshu University.
2024/09/03-06: Topology of loops via non-commutative differential geometry, in 日本数学会秋季総合分科会 at Osaka University.
2024/09/12-15: Loop operations and non-commutative differential geometry, in リーマン面に関連する位相幾何学 at The University of Tokyo.
2024/10/08: Loop operations and non-commutative differential geometry, in 東北大学幾何セミナー at Tohoku University.
2024/12/01: Modular vector fields in non-commutative geometry, in Poisson幾何とその周辺24 at Tokyo University of Science.
2025/05/12-15: Connections in non-commutative geometry and the Kashiwara–Vergne groups, in 変換群論の新しい展開 at RIMS in Kyoto University.
2025/05/19-23: Non-commutative divergence maps in two-dimensional topology, in Algebraic approaches to mapping class groups of surfaces at The University of Tokyo.
2025/05/26-28: Modular vector fields in non-commutative geometry, in Intelligence of Low-dimensional Topology 2025 at RIMS in Kyoto University.
2025/06/23: Modular vector fields in non-commutative geometry, in Saga-Gakushuin Topology Seminar at Gakushuin University.
2025/08/04-06: Modular vector fields in non-commutative geometry and loop operations, in 第72回トポロジーシンポジウム at 山梨県恩賜林記念館.
2025/10/29: Drinfeld associators and Kashiwara–Vergne associators in higher genera, in Topology and Geometry of Low-Dimensional Manifolds 2025 at Akita College Plaza.
2025/12/02: Drinfeld associators and Kashiwara–Vergne associators in higher genera, in Groupes de Lie at espaces de modules at Université de Genève.
2025/12/09: Drinfeld associators and Kashiwara–Vergne associators in higher genera, in Séminaire ART at IRMA, Université de Strasbourg.
2026/02/11: Drinfeld associators and Kashiwara–Vergne associators in higher genera, in Online seminar on Johnson homomorphisms and related topics.
2026/03/09-11: Drinfeld associators and Kashiwara–Vergne associators in higher genera, in Algebraic Geometry, Topology, Combinatorics and Related Topics 2026 at the University of Osaka.
2026/03/23-26: On a relation between Drinfeld associators and Kashiwara–Vergne associators in higher genera, in 日本数学会2026年度年会 at Tokyo University of Science.