Welcome to    Hiroshi NARUSE's    Home Page

Emeritus Professor

I am a member of
Mathematical Society of Japan
American Mathematical Society
Societe Mathematique de France
Association for Symbolic Logic

Education
B.Sci. (Univ. of Tokyo, 1977) supervisor Nagayoshi Iwahori
M.Sci. (Univ. of Tokyo, 1980) supervisor Nagayoshi Iwahori
Doctor course (Univ. of Tokyo, 1984) coursework completed without degree
supervisor Nagayoshi Iwahori
Doctoral dissertation (Osaka Univ., 1999) chief examiner Noriaki Kawanaka

Resarch interest

• Algebra (especially Coxeter group and Hecke algebra)
• Schubert calculus
• Combinatorics

Research map

Recent activities

• (organizer) MSJ-SI 2012 Schubert calculus July 17 to July 27 (2012) at Osaka City Univ.    Videos
• (co-organizer) Diagram algebra in Okinawa July 5 to July 9 (2010)
  

Intensive course

• 2015.11.26-12.2 "Schubert/Grothendieck polynomials" at University of Tokyo
• 2014.07.14-18 “Geometry, Algebra and Combinatorics on Schubert calculus" at Osaka City University
• 2012.11.26-29 "Combinatorics on Schubert calculus" at Tsukuba University
• 2009.02. "Representation theory of Hecke algebras" at Uinversity of the Ryukyus

recent papers, preprints

• with L.Mihalcea and C.Su,
  "Left Demazure-Lusztig operators on equivariant (quantum) cohomology and K theory" ,
  arXiv:2008.12670
  
• with M. Nakagawa,
  "Darondeau-Pragacz formulas in complex cobordism" ,
  arXiv:1910.03649
  
• with M. Nakagawa,
  "Universal factorial Schur P,Q-functions and their duals" ,
  arXiv:1812.03328 old paper written in 2012.12
  
• with T. Hudson, T. Ikeda and T. Matsumura,
  "Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians",
  J. Algebra, Vol.546,(2020)294-314.
  arXiv:1809.07932
• with S. Okada,
  "Skew hook formula for d-complete posets via equivariant K-theory" ,
  Algebraic Combinatorics, Volume 2 (2019) no. 4 p. 541-571 (Open Access)
  arXiv:1802.09748
• with M. Nakagawa,
  "Generating functions for the universal Hall-Littlewood P- and Q-functions" ,
  arXiv:1705.04791 [v2] Sun, 22 Jul 2018
• H. Naruse
  "Elementary proof and application of the generating function for generalized Hall-Littlewood functions" ,
  J. Algebra, Vol.516,(2018)197-209.
  arXiv:1705.02856
• with M. Nakagawa,
  "Universal Gysin formulas for the universal Hall-Littlewood functions" ,
  Contemp. Math., vol. 708, Amer. Math. Soc. (2018), pp. 201--244.
  arXiv:1604.00451
• with T. Hudson, T. Ikeda and T. Matsumura,
  "Degeneracy Loci Classes in K-theory - Determinantal and Pfaffian Formula -",
  Adv. Math., Volume 320, 7 November 2017, Pages 115--156
  old version
  "Pfaffian formula for K-theory of odd orthogonal Grassmannians" arXiv:1602.04448,
  "Determinantal and Pfaffian formula of K-theoretic Schubert calclulus" arXiv:1504.02828,
  
• with A.N.Kirillov,
  "Construction of double Grothendieck polynomials of classical types using Id-Coxeter algebras" ,
  arXiv:1504.08089 Tokyo Journal of Mathematics, Vol.39 no.3,(2017), 695--728.
• with M. Nakagawa, "Generalized (co)homology of the loop spaces of classical groups and the universal factorial Schur P- and Q-functions" ,
  arXiv:1310.8008 ASPM vol.71,337--417.
• with T. Ikeda and L. Mihalcea,
  "Factorial P- and Q-Schur functions represent equivariant quantum Schubert classes",
  Osaka　J. of Mathematics, Vol. 53 (2016), 591--619.
  arXiv:1402.0892
• with M.Nakasuji,
  "Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)" ,
  FPSAC 2016 Vancouver, Canada DMTCS proc. BC, (2016), 935--946.
  arXiv:1512.04485
• with A. Lascoux,
  "Finite sum Cauchy identity for dual Grothendieck polynomials",
  Proc. Japan Acad. Ser. A. Math. Sci. Volume 90, No.7(2014), 87―91.
• with T. Ikeda,
  "K-theoretic analogues of factorial Schur P- and Q- functions" ,
  Adv. Math. 243 (2013), no. 1, 22--66. arXiv:1112.5223
• with T. Ikeda and L.Mihalcea ,
  "Double Schubert polynomials for the classical groups" ,
  Adv. Math. 226 (2011), no. 1, 840--886. arXiv:0810.1348
• with T. Ikeda ,
  "Double Schubert polynomials of classical type and Excited Young diagrams" ,
  RIMS Kokyuroku Bessats B11 (2009), 87--100
• with T. Ikeda,
  "Excited Young diagrams and equivariant Schubert calculus",
  Trans. Amer. Math. Soc. 361 (2009), no. 10, 5193--5221. arXiv:0703637
• "Excited Young diagrams and equivariant Schubert calculus for Grassmannians”,
  RAQ 10 (Karuizawa) proceeding (2007).
• "A combinatorial description of the Grassman-type parabolic Kazhdan-Lusztig polynomial Q^I" (Japanese)
  Topics in combinatorial representation theory (Japanese) (Kyoto, 2000). available form RIMS website

old papers

• "On an Isomorphism between Specht Module and Left Cell of $\mathfrak{S}_n$,
  Tokyo Journal of Mathematics. Volume 12, Number 2 (1989), 247-267. available from euclid
• "On a Formula of Morita's Partition function $q(n)$,
  Tokyo Journal of Mathematics. Volume 09, Number 1 (1986), 67-70. available from euclid
• "Representation Theory of Weyl Group of Type $C_n$",
  Tokyo Journal of Mathematics. Volume 08, Number 1 (1985), 177-190. available from euclid