Rchr
J-GLOBAL ID：200901014946070962
Update date: Jan. 31, 2024
Sekiguchi Jiro
セキグチ ジロウ | Sekiguchi Jiro
Affiliation and department：
Research field (1)：
Geometry
Research keywords (4)：
Reflection group
, WDVV equation
, ベキ零軌道
, Nilpotent orbit
Research theme for competitive and other funds (30)：
- 2017 - 2020 自由因子に特異点をもつ微分方程式と関連する幾何学
- 2014 - 2017 Study on free divisors and differential equations
- 2011 - 2013 Study on Saito free divisors and uniformization equations
- 2008 - 2012 Study of group representation and differential equations associated with root systems and its applications
- 2008 - 2010 Research on geometry related to Weyl groups and root systems
- 2007 - 2010 Studies on prehomogeneous vector space and micro-local analysis
- 2006 - 2009 Modern study on homogeneous spaces and unitary representations via duality
- 2005 - 2008 Affine quotient maps and invariant differential operators
- 2004 - 2007 Systems of differential equations with group actions and their applications
- 2005 - 2006 Actions of semisimple groups and Weyl groups and research on representations
- 2003 - 2005 Study on prehomogeneous vector spaces and micro-local analysis
- 2002 - 2005 Isotropy representations associated with Harish-Chandra modules and nilpotent orbit theory
- 2003 - 2004 Research on Orbits of Semisimple Lie Algebras and Representations
- 2001 - 2004 Geometry and Harmonic Analysis on Nilpotent Orbits
- 2001 - 2002 Research on prehomogeneous vector spaces and micro-local analysis
- 2001 - 2002 Studies on spaces with algebraic group action and representation theory
- 1999 - 2000 Research for the spaces with actions of algebraic groups or Weyl groups
- 1997 - 1998 Construction of the fundamental solution for equations of parabolic type and its applications to geometric problems
- 1997 - 1998 The relation between the configuration space and the root systems
- 1996 - 1996 配置空間上の幾何学と微分方程式
- 1994 - 1994 位相幾何学の数理物理への応用と数式処理の研究
- 1993 - 1993 無限次ガロア拡大体の構成と保型形式の解析的研究
- 1992 - 1992 数学の諸分野に現れる微分方程式の研究
- 1990 - 1990 微分方程式の解析的研究と数値解析および数式処理
- 1986 - 1986 漸近理論に関する研究
- 1983 - 1983 対称空間上の調和解析
- 1979 - 1979 Coxeter 群に関連する幾何及び解析
- 複比多様体と超幾何関数
- Mathematical Study on Zalgaller polyhedra
- Cross ratio varieties and hypergeometric functions
Show all
Papers (46)：
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SEKIGUCHI Jiro. Solutions to extended WDVV equations; ST34, E8 cases. Rev. Roumanine Math. Pures Appl. 2019. 4. 64. 563-581
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KATO Mitsuo, MANO Toshiyuki, SEKIGUCHI Jiro. Flat structure and potential vector fields related with algebraic solutions to Painleve VI equation. Opuscula Math. 2018. 2. 201-252
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SEKIGUCHI Jiro. (with M. Kato and T. Mano)Flat structures and algebraic solutions to Painleve VI equations. Analytic, Algebraic and Geometric Aspects of Differential Equations. 2017. 383-398
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SEKIGUCHI Jiro. The discriminant of Valentiner reflection group and deformations of a plane curve. Saitama Math. J. 2017. 31. 161-170
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KAto Mitsuo, MANO Toshiyuki, SEKIGUCHI Jiro. (with M. Kato and T. Mano)Flat structures without potentials. Rev. Roumaine Math. Mures Appl. 2015. 60. 4. 481-505
ｍore...
MISC (24)：
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Sekiguchi Jiro. Saito Free Divisors and Integrable Connections (Monodromy of the differential equations and related problems). RIMS Kokyuroku. 2009. 1662. 102-135
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Fukui Tetsuo, Sekiguchi Jiro. A quick computation of all kinds of transversals for dissections of an arrangement (Computer Algebra : Design of Algorithms, Implementations and Applications). RIMS Kokyuroku. 2005. 1456. 70-76
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Fukui Tetsuo, Sekiguchi Jiro. An algorithm for finding a transversal for given segments of an arrangement. The bulletin of Mukogawa Women's University. Natural science. 2004. 52. 33-40
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Sekiguchi Jiro. Hyperbolic Elements of Semisimple Symmetric Pairs and Their Orbits (Representations of noncomutative algebraic systems and harmonic analysis). RIMS Kokyuroku. 2002. 1294. 27-34
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Some results on Madular forms (with E.Bannai,M.Koike,A.Munemasa). Advanced Studies in Pure Math. 2001. 32, 245-254
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Books (7)：
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Complex differential and difference equations
De Gruyter 2019
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Eight lines arrangements on the real projective plane and the root system of type E<sub>8</sub> (with T.Fukui)
Proceedings of Third Asian Technology Conference in Mathematics, Tsukuba, Japan 1998
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ガロア理論(J.ロットマン 著)
シュプリンガー・フェアラーク東京 1997
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正20面体と5次方程式 (F.クライン著)(翻訳)
シュプリンガー・フェアラーク東京 1997
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多面体の数理とグラフックス(数理情報科学シリーズ13)
牧野書店 1996
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Lectures and oral presentations (43)：
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The construction problem of algebraic potentials and reflection groups
(2019年度表現論シンポジウム 2019)
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The construction problem algebraic potentials and related topics
(International Symposium on Advances and Perspectives in 2019)
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Examples of algebraic potentials and related topics
(Workshop on hyperplane arrangements and reflection groups 2019)
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概Belyi写像への自由因子の理論の応用
(農工大数学セミナー2019 2019)
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Uniqueness problem of potential vector fields related with reflection groups
(Seminar of Groups, Representations and Geometry 2019)
ｍore...
Professional career (2)：
- (BLANK) (Kyoto University)
- (BLANK) (Nagoya University)
Work history (1)：
- 2017/04 - 現在 Tokyo University of Agriculture and Technology
Association Membership(s) (1)：
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