Tomoyuki Arakawa
Japanese
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:
09-Aug-2024
Curriculum Vitae (pdf)
Some videos of my talks
RIMS Representation Theory Seminar
Past Conferences
Recent preprints
- (with T. Creutzig and K. Kawasetsu) On lisse non-admissible minimal and principal W-algebras, arXiv:2408.04584 [math.RT].
- (with V. Futorny and L. Krizka) Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras, arXiv:2404.02365[math.RT].
- (with V. Futorny and L. Krizka) Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras, arXiv:2404.02365[math.RT].
- (with X. Dai, J. Fasquel, Bohan Li and A. Moreau) On a series of simple affine VOAs at non-admissible level arising from rank one 4D SCFTs, arXiv:2403.04472 [math.RT].
- (with T. Creutzig and K. Kawasetsu) Weight representations of affine Kac-Moody algebras and small quantum groups,arXiv:2311.10233[math.RT].
- (with T. Kuwabara
and S. Möller) Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with N=4 Symmetry, arXiv:2309.17308 [math.RT].
- (with L. Topley and J. J. Villarreal) The centre of the modular affine vertex algebra at the critical level, arXiv:2305.17765 [math.QA].
- (with J. van Ekeren and A. Moreau) Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras,arXiv:2102.13462 [math.RT], to appear in Forum of Mathematics, Sigma.
- Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties, arXiv:1811.01577 [math.RT].
Selected papers
- (with J. van Ekeren) Rationality and Fusion Rules of Exceptional W-Algebras, J. Eur. Math. Soc. (JEMS) 25 (2023), no. 7, pp. 2763–2813.
- (with E. Frenkel) Quantum Langlands duality of representations of W-algebras, Compos. Math. Volume 155, Issue 12, December 2019, 2235-2262.
- (with T. Creutzig and A. Linshaw) W-algebras as coset vertex algebras, Invent. Math., October 2019, Volume 218, Issue 1, pp 145–195.
- (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.
- (with A. Premet) Quantizing Mishchenko-Fomenko subalgebras for centralizers via affine W-algebras, Trans. Moscow Math. Soc. 2017, 217-234.
- Rationality of W-algebras: principal nilpotent cases, Ann. Math. 182 (2015), 565-604.
- Rationality of admissible affine vertex algebras in the category O, Duke Math. J, Volume 165, Number 1 (2016), 67-93, errata.
- Associated varieties of modules over Kac-Moody algebras and $C_2$-cofiniteness of W-algebras, Int. Math. Res. Notices (2015) Vol. 2015 11605--11666.
- A remark on the $C_2$-cofiniteness condition on vertex algebras, Math. Z. vol. 270, no. 1-2, 559-575, 2012.
- (with F. Malikov) A chiral Borel-Weil-Bott theorem, Adv. Math., 229 (2012) 2908-2949.
- (with P. Fiebig) The linkage principle for restricted critical level representations of affine Kac-Moody algebras, Compos. Math., 148, 1787--1810, 2012.
- (with D. Chebotarov and F. Malikov) Algebras of twisted chiral differential operators and affine localization of $g$-modules, Sel. Math. New Ser., vol.17, no. 1, 1-46, 2011.
- Representation Theory of W-Algebras, Invent. Math., Vol. 169 (2007), no. 2, 219--320.
- Representation Theory of Superconformal Algebras and the Kac-Roan-Wakimoto Conjecture, Duke Math. J., Vol. 130 (2005), No. 3, 435-478.
- (with T. Suzuki) Duality between $sl_n(C)$ and the degenerate affine Hecke algebra, J. Algebra 209 (1998), no. 1, 288--304.
Here is the complete list of publications.
Servey articles and lecture notes
- 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.
- Introduction to W-algebras and their representation theory, In: Callegaro F., Carnovale G., Caselli F., De Concini C., De Sole A. (eds) Perspectives in Lie Theory. Springer INdAM Series, vol 19. Springer.
RIMS