荒川知幸

アラカワトモユキ | Arakawa Tomoyuki

所属機関・部署：
職名：教授

研究分野 (1件)：代数学

研究キーワード (4件)：数理物理学 , 表現論 , Mathematical Physics , Representation Theory

競争的資金等の研究課題 (19件)：

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論文 (50件)：

Tomoyuki Arakawa, Jethro van Ekeren. Rationality and fusion rules of exceptional $\mathcal {W}$-algebras. Journal of the European Mathematical Society. 2023. 25. 7. 2763-2813
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau. On the nilpotent orbits arising from admissible affine vertex algebras. Proceedings of the London Mathematical Society. 2022. 125. 3. 681-699
Tomoyuki Arakawa, Thomas Creutzig, Boris Feigin. Urod algebras and Translation of W-algebras. Forum of Mathematics, Sigma. 2022. 10
Tomoyuki Arakawa, Kazuya Kawasetsu, Julien Sebag. A question of Joseph Ritt from the point of view of vertex algebras. Journal of Algebra. 2021. 588. 118-128
Tomoyuki Arakawa, Anne Moreau. Arc Spaces and Chiral Symplectic Cores. Publications of the Research Institute for Mathematical Sciences. 2021. 57. 3. 795-829

MISC (8件)：

荒川知幸. TWO-SIDED BGG RESOLUTIONS AND APPLICATIONS (組合せ論的表現論とその周辺 : RIMS研究集会報告集). 数理解析研究所講究録. 2013. 1870. 77-83
Tomoyuki Arakawa, Ching Hung Lam, Hiromichi Yamada. Singular vectors and Zhu's Poisson algebra of parafermion vertex operator algebras. Springer Proceedings in Mathematics and Statistics. 2013. 36. 391-398
T. Arakawa, F. Malikov. A Vertex Algebra Attached to the Flag Manifold and Lie Algebra Cohomology. LIE THEORY AND ITS APPLICATIONS IN PHYSICS. 2010. 1243. 151-+
荒川知幸. Varieties associated with Kac-Moody vertex algebras and $W$-algberas [algebras] (Finite Groups, Vertex Operator Algebras and Combinatorics). 数理解析研究所講究録. 2009. 1656. 13-19
荒川知幸. INFINITE DIMENSIONAL LIE ALGEBRAS, VERTEX ALGEBRAS AND W-ALGEBRAS(Developments of Cartan Geometry and Related Mathematical Problems). 数理解析研究所講究録. 2006. 1502. 96-106

講演・口頭発表等 (179件)：

4D/2D duality and representation theory
(Seminar 2024)
4D/2D duality and representation theory
(School Colloquium, Zhejiang University 2024)
4D/2D duality and representation theory
(Colloquium Series, Department of Mathematics, National University of Singapore 2024)
Chiral algebras of class S
(Seminar on Representation Theory and Integral Systems 2023)
Symplectic singularities and vertex algebras
(Taipei Conference on Representation Theory VII 2023)

経歴 (10件)：

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受賞 (6件)：

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所属学会 (4件)：

アメリカ数学会 , 日本数学会 , American Mathematical Society , Mathematical Society of Japan

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荒川 知幸