Professor

Research Institute for Mathematical Sciences, Kyoto University

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

Research Interest: Representation Theory, Vertex Algebras

Last Update： 13-Nov-2019

Some videos of my talks

- "4d/2d duality and representation therory" (1,2,3,4) at HSE, Moscow, April, 2019.
- ICM 2018 talk "Representation theory of W-algebras and Higgs branch conjecture".

RIMS Representation Theory Seminar

Some recent papers and preprints:

- (with H. Yamada and H. Yamauchi) $\mathbb{Z}_k$-code vertex operator algebras, arXiv:1907.10216 [math.RT].
- (with J. van Ekeren) Rationality and Fusion Rules of Exceptional W-Algebras, arXiv:1905.11473 [math.RT].
- Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties, arXiv:1811.01577 [math.RT].
- (with E. Frenkel) Quantum Langlands duality of representations of W-algebras,
*Compos. Math.*Volume 155, Issue 12, December 2019, 2235-2262. - (with A. Linshaw) Singular support of a vertex algebra and the arc space of its associated scheme. In: Gorelik M., Hinich V., Melnikov A. (eds) Representations and Nilpotent Orbits of Lie Algebraic Systems. Progress in Mathematics, vol 330. Birkhäuser, Cham.
- (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. - (with T. Creutzig and A. Linshaw) W-algebras as coset vertex algebras,
*Invent. Math.,*October 2019, Volume 218, Issue 1, pp 145–195. - Representation theory of W-algebras and Higgs branch conjecture,
*Proc. Int. Cong. of Math. 2018 Rio de Janeiro*, Vol. 1 (1261-1278). - Associated Varieties and Higgs Branches (A Survey),
*Contemp. Math.*711(2018), 37-44. - (with C. Jiang) Coset Vertex Operator Algebras and W-Algebras,
*Sci. China Math.*61 (2018), no. 2, 191–206. 17B69. - (with C.-H. Lam and H. Yamada) Parafermion vertex operator algebras and W-algebras,
*Trans. Amer. Math. Soc.***371**(2019), 4277-4301. - (with J. van Ekeren) Modularity of relatively rational vertex algebras and fusion rules of principal affine W-algebras,
*Comm. Math. Phys*. (2019), 370 (1), 205--247. - (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 Theory*,*A Tribute to the Life and Work of Bertram Kostant*, Progr. Math., 326, Birkhauser, 2018. - (with A. Moreau) Joseph ideals and lisse minimal W-algebras,
*J. Inst. Math. Jussieu*, 17 (2018), no. 2, 397–417.

Here is the complete list of publications.