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五味清紀  ゴミ キヨノリ

教員組織学術研究院(理学系)電話番号
教育組織理学部 数学科 数理科学コースFAX番号
職名准教授メールアドレス
住所〒390-8621 長野県松本市旭3-1-1ホームページURLhttp://math.shinshu-u.ac.jp/~kgomi/index.html

プロフィール

研究分野
幾何学
現在の研究課題
Gerbeを使った場の理論の量子化
キーワード:gerbe
所属学会
所属学会
日本数学会
学歴
出身大学院
2002 , 東京大学大学院数理科学研究科
受賞学術賞
    
研究職歴等
研究職歴
2011- , 現職

研究活動業績

研究業績(著書・
発表論文等)
論文
Topology of nonsymmorphic crystalline insulators and superconductors
Physical Review B 2016
Author:K. Shiozaki, M. Sato and K. Gomi


Differential geometric invariants for time-reversal symmetric Bloch-bundles: the "Real" case.
Journal of Mathematical Physics 2016
Author:De Nittis and K. Gomi


Classification of "Quaternionic" Bloch-bundles: Topological Quantum Systems of type AII
2015( 00)
Author:G. De Nittis and K. Gomi


Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
Physical Review B,91:155120 2015( 00)
Author:K. Shiozaki, M. Sato and K. Gomi


Classification of "Quaternionic" Bloch-bundles: Topological Quantum Systems of type AII.
Communications in Mathematical Physics,339(1):1-55 2015( 00)
Author:G. De Nittis and K. Gomi


Classification of "Real" Bloch-bundles: Topological Quantum Systems of type AI.
Journal of Geometry and Physics,86:303-338 2014(Dec. 00)
Author:Giuseppe De Nittis and Kiyonori Gomi


A variant of K-theory and topological T-duality for Real circle bundles
Communications in Mathematical Physics 2014(Aug. 23)
Author:Kiyonori Gomi


Classification of "Real" Bloch-bundles: Topological quantum systems of type AI
JOURNAL OF GEOMETRY AND PHYSICS,86(0):303-338 2013
Author:De Nittis, G; Gomi, K


ねじれK理論
数学,64(1):47 2012(Jan. 26)
Author:五味清紀


Clifford Modules, Finite-Dimensional Approximation and Twisted K-Theory
JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO,19(4):587-612 2012
Author:Gomi, K


Twisted K-theory and finite-dimensional approximation.
Communications in Mathematical Physics.,294 (2010), no. 3,:863--889 2010( 00)
Author:Gomi


Chern-Weil construction for twisted K-theory
Communications in Mathematical Physics,299(1):225-254 2010( 00)
Author:Kiyonori Gomi, Yuji Terashima


An analogue of the space of conformal blocks in (4k+2)-dimensions
Advanced Studies in Pure Mathematics , 2009. Noncommutativity and Singularities.,55:pp. 235-247 2009( 00)
Author:Gomi


Discrete torsion phases as topological actions.
Communications in Mathematical Physics.,287 (2009),:889-901. 2009( 00)
Author:K. Gomi, Y. Terashima


Projective unitary representations of smooth Deligne cohomology groups.
Journal of Geometry and Physics,,Vol. 59 (2009), no. 9,:1339--1356 2009( 00)
Author:Gomi


Differential characters and the Steenrod squares
Advanced Studies in Pure Mathematics , 2008. Groups of Diffeomorphisms.,52:pp. 297-308. 2008( 00)
Author:Gomi


An approach toward a finite-dimensional definition of twisted K-theory.
Travaux mathématiques . Trav. Math., 17, Fac. Sci. Technol. Commun. Univ. Luxemb., Luxembourg, 2007.,Vol. XVII,:75--85, 2007( 00)
Author:K. Gomi


学会発表
K-theory, gapped quantum system and C-symmetric indefinite metric space
下呂幾何学研究集会 2016(Dec. 26)
Author:五味清紀


K-theory, gapped quantum system and C-symmetric indefinite metric space
量子化の幾何学2016 2016(Dec. 09)
Author:五味清紀


K-theory of the torus equivariant under the 2-dimensional crystallographic point groups
Coloquio de Matemática UC 2016(Sep. 09)
Author:Kiyonori Gomi


Introduction to topological K-theory: Basics of topological K-theory.
Noncommutative Topics: Mini-workshop in Mathematical Physics 2016(Sep. 06)
Author:Kiyonori Gomi


The FKMM invariant
Mini-workshop on Topological States and Non-commutative Geometry , Tohoku University 2015(Mar. 23)
Author:Kiyonori Gomi


"実"円周束の位相的T双対
量子化の幾何学2014, 早稲田大学 2014(Dec. 20)
Author:Kiyonori Gomi


A variant of K-theory and topological T-duality for "Real" circle bundles
Friedrich-Alexander-Universität Erlangen-Nürmberg 2014(Dec. 04)
Author:Kiyonori Gomi


"実"円周束の位相的T双対
信州トポロジーセミナー, 信州大学 2014(Nov. 13)
Author:Kiyonori Gomi


The FKMM invariant of `symplectic' vector bundles
The Second China-Japan Conference on Noncommutative Geometry and K-theory 2014(Oct. 05)
Author:Kiyonori Gomi


The FKMM invariant in low dimension
Differential geometry seminars, The University of Adelaide 2014(Sep. 12)
Author:Kiyonori Gomi


Topological T-duality for Real circle bundles
Further development of Atiyah-Singer index theorem and K-theory 2013(Dec. 19)
Author:Kiyonori Gomi


Mickelsson's twisted K-theory invariant
The 6th Pacific RIM Conference on Mathematics 2013 2013(Jul. 02)
Author:Gomi


Introduction to Costello's formulation of perturbative quantum field theory
信州数理物理セミナー, 信州大学 2013(May 13)
Author:Gomi


Mickelsson's twisted K-theory invariant and its generalization
MS Seminar, IPMU 2013(Jan. 25)
Author:Gomi


Mickelsson's twisted K-theory invariant and its generalization
Discrete Geometry and Dynamical Systems, Kyoto University 2013(Jan. 25)
Author:Gomi


Chern-Simons-Dirac theory
談話会, 京都大学 2012(Dec. 05)
Author:Gomi


Construction of TQFT from cohomology
幾何セミナー, 明治大学 2012(Jun. 24)
Author:Gomi


Construction of TQFT from cohomology
信州トポロジーセミナー, 信州大学 2012(Jun. 06)
Author:Gomi


Differential K-theory and the Adams operation
Topology and Analysis on Foliations, Nagoya University, Japan 2012(Mar. 24)
Author:Gomi


Introduction to abelian gerbes with connection
学生プロジェクト・集中講義, 名古屋大学多元数理科学研究科 2012(Mar. 07)
Author:Gomi


Differential K-theory and the Adams operation
量子化の幾何学2011, 早稲田大学 2011(Nov. 18)
Author:Gomi


Differential K-theory and theAdams operation
Seminar, Aarhus University, Denmark 2010(Dec. 20)
Author:Gomi


Differential K-theory and the Adams operation
East Asian Conference on Algebraic Topology, 4, 2010(Dec. 08)
Author:Kiyonori Gomi


微分コホモロジーとコホモロジー作用素
談話会, 信州大学 2010(Oct. 28)
Author:Gomi


Atiyah-Segal不変多項式環の基底
日本数学会2010年度秋季総合分科会 2010(Sep. 00)
Author:Gomi


A basis of the Atiyah-Segal invariant polynomials
非可換幾何学と数理物理学2010, 慶応大学 2010(Sep. 00)
Author:Gomi


Remarks on characteristic classes for twisted K-theory
Mejiro mini-workshop on geometry and topology 2010(May 29)
Author:Gomi


Twisted K-theory and finite-dimensional approximation
第56回トポロジーシンポジウム, 北海道大学 2009(Aug. 00)
Author:Gomi


A finite-dimensional construction of the Chern character for twisted K-theory
微分トポロジーセミナー, 京都大学 2009(Jul. 00)
Author:Gomi


A finite-dimensional construction of the Chern character for twisted K-theory
トポロジー火曜セミナー, 東京大学 2009(Jun. 00)
Author:Gomi


Multiplication in differential cohomology and cohomology operation
IPMU Komaba Seminar, 東京大学 2009(Jun. 00)
Author:Gomi


Twisted K-theory and finite-dimensional approximation
GCOE Geometry Seminar, 京都大学 2009(Jun. 00)
Author:Gomi


Twisted K-theory and finite-dimensional approximation
GCOE Geometry Seminar, 京都大学, 2009(May 00)
Author:Gomi


捻られたK理論の実現とFredholm作用素の有限次元近似
談話会, 京都大学 2009(Apr. 00)
Author:Gomi


Multiplication in differential cohomology and cohomology operation
Quantum algebra related to various topological field theories in geometries 2009(Feb. 00)
Author:Gomi


finite-dimensional formulation of twistedK-theory
空間の代数的・幾何的モデルとその周辺2008, 信州大学 2008(Sep. 00)
Author:Gomi


Hermite一般ベクトル束に対するChern-Weil構成
非可換微分幾何学と数理物理学2008, 慶応大学 2008(Sep. 00)
Author:Gomi


An analogy of thespace of conformal blocksin (4k+2)-dimensions
Geometry Seminar, The University of Hong Kong, China 2007(Dec. 00)
Author:Gomi


Twisted K-theory and finite dimensional approximation
IMS Geometry Seminar, The Chinese University of Hong Kong, China 2007(Nov. 00)
Author:Gomi


Twisted K-theory and finite dimensional approximation
Geometry Seminar, The University of Hong Kong, China 2007(Nov. 00)
Author:Gomi


Twisted K-theory and finite dimensional approximation
Geometry Seminar, The University of Texas at Austin, USA 2007(Oct. 00)
Author:Gomi


Realization of twisted K-theory and finite-dimensional approximation of Fredholm operators
火曜トポロジーセミナー, 東京大学 2007(Apr. 00)
Author:Gomi


捩れK理論と有限次元近似
日本数学会2007年度年会 2007(Mar. 00)
Author:Gomi


Extended Topological Quantum Field Theory: a toy model
第4回城崎新人セミナー, 兵庫県豊岡市立城崎健康福祉センター 2007(Feb. 00)
Author:Gomi


An analogue of the space of conformal blocks in (4k+2)-dimensions
トポロジー金曜セミナー, 九州大学, 2007(Jan. 00)
Author:Gomi

研究費
科学研究費補助金(研究代表者)
2011 - 2014 , Chern-Simons型理論の量子化にもとづくモジュラー圏の幾何学的構成