Tomoyuki Arakawa
Japanese
Professor
Research Institute for Mathematical Sciences, Kyoto University
EMAIL: arakawa at kurims.kyotou.ac.jp
Research Interest: Representation Theory, Vertex Algebras
Last Update：
13Mar2019
Curriculum Vitae (pdf)
Video of my ICM 2018 talk
RIMS Representation Theory Seminar
RIMS project 2018: Vertex operator algebras and symmetry
・RIMS Gasshukustyle Seminar "Vertex Operator Algebras and Conformal Field Theory" (July 2  6, 2018)
・RIMS Workshop "Vertex Operator Algebras and Symmetries" (July 9  13, 2018)
RussiaJapan Workshop "Infinite dimensional algebras, geometry and integrable systems" (Nov. 15, 2018)
Past Conferences
Papers
 Chiral algebras of class $\mathcal{S}$ and MooreTachikawa symplectic varieties, arXiv:1811.01577 [math.RT].
 (with E. Frenkel) Quantum Langlands duality of representations of Walgebras, arXiv:1807.01536 [math.QA].

(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.
 (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) Walgebras as coset vertex algebras, arXiv:1801.03822 [math.QA].
 Representation theory of Walgebras and Higgs branch conjecture, Proc. Int. Cong. of Math 2018 Rio de Janeiro, Vol. 1 (12611278).
 Associated Varieties and Higgs Branches (A Survey), Contemp. Math. 711(2018), 3744.
 (with C. Jiang) Coset Vertex Operator Algebras and WAlgebras, Sci. China Math. 61 (2018), no. 2, 191–206. 17B69.
 (with C.H. Lam and H. Yamada) Parafermion vertex operator algebras and Walgebras, Trans. Amer. Math. Soc. 371 (2019), 42774301.
 (with J. van Ekeren) Modularity of relatively rational vertex algebras and fusion rules of regular affine Walgebras, arXiv:1612.09100[math.RT].
 (with A. Premet) Quantizing MishchenkoFomenko subalgebras for centralizers via affine Walgebras, Trans. Moscow Math. Soc. 2017, 217234.
 (with T. Creutzig, K. Kawasetsu and A. Linshaw) Orbifolds and cosets of minimal $\mathcal{W}$algebras, Comm. Math. Phys., October 2017, Volume 355, Issue 1, pp 339–372.
 (with H. Yamada and H. Yamauchi) Vertex operator algebras associated with Z/kZcodes, In: Dobrev V. (eds) Lie Theory and Its Applications in Physics. LT 2015. Springer Proceedings in Mathematics & Statistics, vol 191. Springer, Singapore.
 (with K. Kawasetsu) Quasilisse vertex algebras and modular linear differential equations, 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) On the irreducibility of associated varieties of Walgebras, J. Alg. 500, 15 April 2018, Pages 542568.
 (with V. Futorny, L.E. Ramirez) Weight representations of admissible affine vertex algebras, Comm. Math. Phys. 353 (2017), no.3, 11511178.
 Introduction to Walgebras 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.
 (with A. Moreau) Sheets and associated varieties of affine vertex algebras, Adv. Math, Volume 320, 7 November 2017, Pages 157–209, errata.
 (with T. Creutzig and A. Linshaw) Cosets of BershadskyPolyakov algebras and rational $\mathcal{W}$algebras of type $A$, Sel. Math. New Ser, October 2017, Volume 23, Issue 4, pp 2369–2395.
 (with A. Moreau) Joseph ideals and lisse minimal Walgebras, J. Inst. Math. Jussieu, 17 (2018), no. 2, 397–417.
 (with W. Wang) Modular affine vertex algebras and baby Wakimoto modules,Proc. Symp. Pure Math.,Volume: 92 (2016),1429
 (with A. Molev) Explicit generators in rectangular affine Walgebras of type A, Lett. Math. Phys.107(1), 4759, 2017.
 Rationality of Walgebras: principal nilpotent cases, Ann. Math. 182 (2015), 565604.
 Rationality of admissible affine vertex algebras in the category O, Duke Math. J, Volume 165, Number 1 (2016), 6793, errata.
 Twosided BGG resolutions of admissible representations, Represent. Theory 18 (2014), 183222.
 (with C.H. Lam and H. Yamada) Zhu's algebra, C_2algebra and C_2cofiniteness of parafermion vertex operator algebras, Adv. Math., vol.264 (2014), 261295.
 (with T. Kuwabara and F. Malikov) Localization of affine Walgebras, Comm. Math. Phys, April 2015, Volume 335, Issue 1, pp 143182.
 Walgebras at the critical level, Contemp. Math., 565, 114, 2012.
 Rationality of BershadskyPolyakov vertex algebras, Comm. Math. Phys., October 2013, Volume 323, Issue 2, pp 627633.
 Associated varieties of modules over KacMoody algebras and $C_2$cofiniteness of Walgebras, Int. Math. Res. Notices (2015) Vol. 2015 1160511666.
 A remark on the $C_2$cofiniteness condition on vertex algebras, Math. Z. vol. 270, no. 12, 559575, 2012.
 (with F. Malikov) A vertex algebra attached to the flag manifold and Lie algebra cohomology, AIP Conf. Proc. 1243, pp. 151164, 2009, arXiv:0911.0922 [math.AG].
 (with P. Fiebig) The linkage principle for restricted critical level representations of affine KacMoody algebras, Compos. Math., 148, 17871810, 2012.
 (with F. Malikov) A chiral BorelWeilBott theorem, Adv. Math., 229 (2012) 29082949.
 (with P. Fiebig) On the restricted Verma modules at the critical level, Trans. Amer. Math. Soc. 364 (2012), 46834712.
 (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, 146, 2011.
 Representation theory of Walgebras, II, Adv. Stud. Pure Math. 61(2011), 5190.
 Characters of representations of affine KacMoody Lie algebras at the critical level, arXiv:0706.1817v2 [math.QA].
 Representation Theory of WAlgebras, Invent. Math., Vol. 169 (2007), no. 2, 219320.
 A New Proof of the KacKazhdan Conjecture, Int. Math. Res. Not. 2006. Art. ID 27091, 5 pages.
 Representation Theory of Superconformal Algebras and the KacRoanWakimoto Conjecture, Duke Math. J., Vol. 130 (2005), No. 3, 435478.
 Vanishing of cohomology associated to quantized DrinfeldSokolov reduction, Int. Math. Res. Not. 2004, no.15, 730767.
 Drinfeld functor and finitedimensional representations of Yangian, Comm. Math. Phys. 205 (1999), no. 1, 118.
 (with T. Suzuki) Duality between $sl_n(C)$ and the degenerate affine Hecke algebra, J. Algebra 209 (1998), no. 1, 288304.
 (wih T. Suzuki and A. Tsuchiya) Degenerate double affine Hecke algebra and conformal field theory. Topological field theory, primitive forms and related topics (Kyoto, 1996), 134, Progr. Math., 160, Birkhauser, 1998.
 (with T. Nakanishi, K. Oshima and A. Tsuchiya) Spectral decomposition of path space in solvable lattice model. Comm. Math. Phys. 181 (1996), no. 1, 157182.
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