Tomoyuki Arakawa
Japanese
EMAIL: arakawa at kurims.kyotou.ac.jp
Research Interest: Representation Theory, Vertex Algebras
Last Update：
25Oct2016
Curriculum Vitae (pdf)
I will give a graduate course at MIT for Spring Semester, 2016. The details will be here.
RIMS Representation Theory Seminar
Workshop on Walgebras, November 28  December 2, 2016, University of Melbourne.
ESI conference on Geometry and Representation Theory, January 1627, 2017, Vienna
Past Conferences
Papers

(with H. Yamada and H. Yamauchi) Vertex operator algebras associated with Z/kZcodes, to appear in Springer Proceedings in Mathematics & Statistics, Vol. 191.
 (with K. Kawasetsu) Quasilisse vertex algebras and modular linear differential equations, arXiv:1610.05865 [math.QA].
 (with A. Moreau) On the irreducibility of associated varieties of Walgebras, arXiv:1608.03142 [math.RT].
 (with V. Futorny, L.E. Ramirez) Weight representations of admissible affine vertex algebras, arXiv:1605.07580 [math.RT].
 Introduction to Walgebras and their representation theory, arXiv:1605.00138 [math.RT].
 (with A. Moreau) Sheets and associated varieties of affine vertex algebras, arXiv:1601.05906 [math.RT].
 (with T. Creutzig and A. Linshaw) Cosets of BershadskyPolyakov algebras and rational $\mathcal{W}$algebras of type $A$, arXiv:1511.09143 [math.RT].
 (with A. Moreau) Joseph ideals and lisse minimal Walgebras, J. Inst. Math. Jussieu, published online.
 (with W. Wang) Modular affine vertex algebras and baby Wakimoto modules,Proc. Symp. Pure Math.,Volume: 92 (2016),116.
 (with A. Molev) Explicit generators in rectangular affine Walgebras of type A, arXiv:1403.1017 [math.RT], to appear in Lett. Math. Phys.
 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.
 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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