荒川 知幸

English

 

京都大学数理解析研究所 教授

E-MAIL: arakawa at kurims.kyoto-u.ac.jp

専門分野: 表現論,頂点代数

最終更新日: 2019年4月14日


研究室の紹介


過去の講義


RIMS 表現論セミナー

過去の研究集会


最近の論文

  1. Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties, arXiv:1811.01577 [math.RT].
  2. (with E. Frenkel) Quantum Langlands duality of representations of W-algebras, arXiv:1807.01536 [math.QA].
  3. (with A. Linshaw) Singular support of a vertex algebra and the arc space of its associated scheme, arXiv:1804.01287 [math.RT], to appear in a special volume of Progress in Mathematics series in honour of 75's birthday of Antony Joseph.
  4. (with A. Moreau) Arc spaces and chiral symplectic cores, arXiv:1802.06533 [math.RT], to appear in the special issue of Publ. Res. Inst. Math. in honor of Professor Masaki Kashiwara's 70th birthday.
  5. (with T. Creutzig and A. Linshaw) W-algebras as coset vertex algebras, Invent. Math., published online.
  6. Representation theory of W-algebras and Higgs branch conjecture, Proc. Int. Cong. of Math 2018 Rio de Janeiro, Vol. 1 (1261-1278).
  7. Associated Varieties and Higgs Branches (A Survey), Contemp. Math. 711(2018), 37-44.
  8. (with C. Jiang) Coset Vertex Operator Algebras and W-Algebras, Sci. China Math. 61 (2018), no. 2, 191–206. 17B69.
  9. (with C.-H. Lam and H. Yamada) Parafermion vertex operator algebras and W-algebrasTrans. Amer. Math. Soc. 371 (2019), 4277-4301.
  10. (with J. van Ekeren) Modularity of relatively rational vertex algebras and fusion rules of regular affine W-algebras, arXiv:1612.09100[math.RT].
  11. (with K. Kawasetsu) Quasi-lisse vertex algebras and modular linear differential equations, In: V. G. Kac, V. L. Popov (eds.), Lie Groups, Geometry, and Representation TheoryA Tribute to the Life and Work of Bertram Kostant, Progr. Math., 326, Birkhauser, 2018.
  12. (with A. Moreau) Joseph ideals and lisse minimal W-algebras, J. Inst. Math. Jussieu, 17 (2018), no. 2, 397–417. 

全論文リストはこちら


賞罰

  1. ICM2018招待講演 (ビデオ)
  2. 平成29年度日本数学会秋季賞 (受賞講演のビデオ)
  3. 平成25年度代数学賞
  4. 平成20年度文部科学大臣表彰若手科学者賞
  5. 平成16年度日本数学会建部賢弘特別賞

京都大学数理解析研究所