成瀬　研究室　紹介

成瀬　弘 NARUSE, Hiroshi

主な職歴
2009.01 〜 2015.03　岡山大学　教授
2015.04 〜 2020.03　山梨大学　教授
2020.03.31 定年退職
2020.04.01〜2020.09.30　山梨大学　教育学部　非常勤講師

岡山大学　名誉教授
山梨大学　名誉教授

research map

(過去の)担当授業等
2020年度 2019年度

主な研究テーマ
ヘッケ環とその表現論
シューベルト・カルキュラス
離散数学と組合せ論
形式証明
など

シューベルト・カルキュラス リンク集

計算機代数関連

最近の活動

• MSJ-SI 2012 2012年度日本数学会季期研究所
  シューベルト・カルキュラス　研究集会 組織委員代表 ７月１７日から７月２７日 (2012) 大阪市大.    講演者のビデオ
• Diagram algebra in Okinawa ７月５日から７月９日 (2010)　沖縄　
  

研究関係資料

集中講義

• 2015.11.26-12.2 "Schubert/Grothendieck polynomials" 東京大学
• 2014.07.14-18 "Geometry, Algebra and Combinatorics on Schubert calculus" 大阪市立大学
• 2012.11.26-29 "Combinatorics on Schubert calculus" 筑波大学
• 2008.02.12-16 "Representation theory of Hecke algebras" 琉球大学

最近のプレプリント・論文から

• 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. Vol.320 (2017),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" ,
  Tokyo Journal of Mathematics, Vol.39 no.3,(2017), 695--728.
  arXiv:1504.08089
  
• with M. Nakagawa,
  "Generalized (co)homology of the loop spaces of classical groups and the universal factorial Schur P- and Q-functions" ,
  ASPM vol.71 (2016),337--417.
  arXiv:1310.8008
• 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. (Open Access)
  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. (Open Access)
  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. (Open Access)
  
• with T. Ikeda,
  "K-theoretic analogues of factorial Schur P- and Q- functions" ,
  Adv. Math. 243 (2013), no. 1, 22--66. (Open Access)
  arXiv:1112.5223
• with T. Ikeda and L.Mihalcea ,
  "Double Schubert polynomials for the classical groups",
  Adv. Math. 226 (2011), no. 1, 840--886. (Open Access)
  arXiv:0810.1348
• with T. Ikeda ,
  "Double Schubert polynomials of classical type and Excited Young diagrams",
  RIMS Kokyuroku Bessatsu B11 (2009), 87--100 (Open Access)
  
• with T. Ikeda,
  "Excited Young diagrams and equivariant Schubert calculus",
  Trans. Amer. Math. Soc. 361 (2009), no. 10, 5193--5221. (Open Access)
  arXiv:0703637
• "Excited Young diagrams and equivariant Schubert calculus for Grassmannians”,
  RAQ 10 (Karuizawa) proceeding (2007).
  

• "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 (Open Access)
  
• "On a Formula of Morita's Partition function $q(n)$,
  Tokyo Journal of Mathematics. Volume 09, Number 1 (1986), 67-70. available from euclid (Open Access)
  
• "Representation Theory of Weyl Group of Type $C_n$",
  Tokyo Journal of Mathematics. Volume 08, Number 1 (1985), 177-190. available from euclid (Open Access)
  

• 成瀬弘, "ユニタリ鏡映群の同変シューベルト・カルキュラスに向けて" 速報版
  RIMS講究録2103 表現論と代数、解析、幾何をめぐる諸問題 Feb-2019, P.137--146.
  
• 成瀬弘, "グラスマン型のParabolic Kazhdan-Lusztig多項式Q^I の組合せ論的記述について"
  RIMS講究録1190 組合せ論的表現論をめぐる話題 Feb-2001, P.126--135. (Open Access)
  
• 成瀬弘 "半順序集合の上の層と群の表現"
  RIMS講究録0670 組合せ論とその周辺の研究 Sep-1988,P.258--275. (Open Access)
  
  

• 成瀬弘 "母函数の考え方", 「数理科学」Vol.33-7 (No.385), pp.34-39, サイエンス社，1995．
• 成瀬弘 "G-linearizationの圏論的解釈について" 岡山大学教育学部研究集録　第80号(1989) P.43--47. (Open Access)