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1.

図書

図書
谷山豊著 ; 杉浦光夫 [ほか] 編
出版情報: 東京 : 日本評論社, 1994.10  369p, 図版 [1] 枚 ; 27cm
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Jacobian varieties and number fields : a mimeographed note, University of Tokyo (September, 1955)
Jacobian varieties and number fields : mimeographed notes (the International Symposium on Algebraic Number Theory, Tokyo-Nikko, September, 1955)
Jacobian varieties and number fields : proceedings of the International Symposium on Algebraic Number Theory, Tokyo-Nikko, 1955; pp.31-45; (October, 1956)
On a certain relation between L-functions : an unpublished manuscript dated February 4, 1956
Regular local system for an abelian extension : an unpublished manuscript written on February 17, 1956
A letter to André Weil
L-functions of number fields and zeta functions of abelian varieties : Journal of the Mathematical Society of Japan, vol.9, pp.330-366 (July, 1957)
Distribution of positive 0-cycles in absolute classes of an algebraic variety with finite constant field : Scientific papers of the College of General Education, University of Tokyo, Vol.8, pp.123-137 (1958)
Problems
ABEL函数体ノn-分割ニツイテ : WEILノ有限性定理ノ代数的証明
日本数学会講演アブストラクト
Jacobi多様体と数体
虚数乗法に関する非公式討論会
問題
A.Weilの印象
A.Weilをめぐって
類体の構成について
モヅル函数と合同ζ-函数
整数論
空々しさということ
虚数乗法と合同ζ-函数
シンポジウムについて
代数幾何学と整数論
A.Weilに接して
Weylと整数論
数論グループ
代数的整数論におけるζ-函数
巻頭に寄せて
少数精鋭主義について
整数論展望
数理科学研究所設立の問題について : 全国の研究者各位に訴える
米国留学について二つの意見
大学院の問題について
応用数学小委員会への質問状 : 数理研の問題について
ヒルベルトのモヂュラー函数について
(自己紹介)
「零 (ゼロ) の発見」
「科学と方法」
1955年国際数学会議
Quelques questions
或る映画を見てある人がどう考へるかと云ふことについて : 一つの実例
四行詩
屋上屋を架す
正雄さんの話
正夫さんの話
現代数学の性格について
新人紹介 Peter Roquette
A.Weil「ゼータ函数の育成について」
A.Weil「イデール類群の或る指標について」
『近代的整数論』第1章歴史
Jacobian varieties and number fields : a mimeographed note, University of Tokyo (September, 1955)
Jacobian varieties and number fields : mimeographed notes (the International Symposium on Algebraic Number Theory, Tokyo-Nikko, September, 1955)
Jacobian varieties and number fields : proceedings of the International Symposium on Algebraic Number Theory, Tokyo-Nikko, 1955; pp.31-45; (October, 1956)
2.

図書

図書
V.Ostrovskyi, Yu. Samoilenko
出版情報: Amsterdam : Harwood Academic Pub., c1999  iii, 261 p. ; 22 cm
シリーズ名: Reviews in mathematics and mathematical physics ; v. 11, pt. 1
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3.

図書

図書
edited by Károly Böröczky, Jr., Walter Neumann, András Stipsicz
出版情報: Budapest : János Bolyai Mathematical Society, 1999  413 p. ; 25 cm
シリーズ名: Bolyai Society mathematical studies ; 8
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4.

図書

図書
editor of the volume, Jerzy Jezierski
出版情報: Warszawa : Institute of Mathematics, Polish Academy of Science, 1999  268 p. ; 24 cm
シリーズ名: Banach Center publications ; v. 49
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5.

図書

図書
edited by Michael Schneider, Yum-Tong Siu
出版情報: Cambridge : Cambridge University Press, c1999  xii, 564 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 37
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6.

図書

図書
Steven G. Krantz
出版情報: Boston, Mass. : Birkhäuser, c1999  xxiv, 290 p. ; 24 cm
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7.

図書

図書
edited by H. Kawarada, M. Nakamura and Z. Shi
出版情報: Tokyo : Gakkōtosho, c1999  292 p. ; 27 cm
シリーズ名: GAKUTO international series ; . Mathematical sciences and applications ; vol. 12
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8.

図書

図書
editors, A. Degasperis and G. Gaeta
出版情報: Singapore : World Scientific, c1999  xi, 321 p ; 23 cm
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9.

図書

図書
edited by A. Comtet, T. Jolicœur, S. Ouvry and F. David
出版情報: Berlin : Springer in cooperation with the NATO Scientific Affair Division , Les Ulis : EDP sciences, 1999  xxxiv, 909 p. ; 23 cm
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目次情報: 続きを見る
Lecturers
Participants
Préface
Preface
Contents
Electrons in a Flatland / M. ShayeganCourse 1:
Introduction / 1:
Samples and measurements / 2:
2D electrons at the GaAs/AlGaAs interface / 2.1:
Magnetotransport measurement techniques / 2.2:
Ground states of the 2D System in a strong magnetic field / 3:
Shubnikov-de Haas oscillations and the IQHE / 3.1:
FQHE and Wigner crystal / 3.2:
Composite fermions / 4:
Ferromagnetic state at ν = 1 and Skyrmions / 5:
Correlated bilayer electron states / 6:
Overview / 6.1:
Electron System in a wide, single, quantum well / 6.2:
Evolution of the QHE states in a wide quantum well / 6.3:
Evolution of insulating phases / 6.4:
Many-body, bilayer QHE at ν = 1 / 6.5:
Spontaneous interlayer Charge transfer / 6.6:
Summary / 6.7:
The Quantum Hall Effect: Novel Excitations and Broken Symmetries / S.M.GirvinCourse 2:
The quantum Hall effect
Why 2D is important / 1.1:
Constructing the 2DEG / 1.3:
Why is disorder and localization important? / 1.4:
Classical dynamics / 1.5:
Semi-classical approximation / 1.6:
Quantum dynamics in strong B Fields / 1.7:
IQHE edge states / 1.8:
Semiclassical percolation picture / 1.9:
Fractional QHE / 1.10:
The ν = 1 many-body state / 1.11:
Neutral collective excitations / 1.12:
Charged excitations / 1.13:
FQHE edge states / 1.14:
Quantum hall ferromagnets / 1.15:
Coulomb exchange / 1.16:
Spin wave excitations / 1.17:
Effective action / 1.18:
Topological excitations / 1.19:
Skyrmion dynamics / 1.20:
Skyrme lattices / 1.21:
Double-layer quantum Hall ferromagnets / 1.22:
Pseudospin analogy / 1.23:
Experimental background / 1.24:
Interlayer phase coherence / 1.25:
Interlayer tunneling and tilted field effects / 1.26:
Lowest Landau level projection / Appendix A:
Berry's phase and adiabatic transport / Appendix B:
Aspects of Chern-Simons Theory / G.V.DunneCourse 3:
Basics of planar field theory
Chern-Simons coupled to matter fields - "anyons"
Maxwell-Chern-Simons: Topologically massive gauge theory
Fermions in 2 + 1-dimensions / 2.3:
Discrete symmetries: <$>{\cal P}, {\cal C}<$> and <$>{\cal T}<$> / 2.4:
Poincaré algebra in 2 + 1-dimensions / 2.5:
Nonabelian Chern-Simons theories / 2.6:
Canonical quantization of Chern-Simons theories
Canonical structure of Chern-Simons theories
Chern-Simons quantum mechanics
Canonical quantization of abelian Chern-Simons theories / 3.3:
Quantization on the torus and magnetic translations / 3.4:
Canonical quantization of nonabelian Chern-Simons theories / 3.5:
Chern-Simons theories with boundary / 3.6:
Chern-Simons vortices
Abelian-Higgs model and Abrikosov-Nielsen-Olesen vortices / 4.1:
Relativistic Chern-Simons vortices / 4.2:
NonabelianrelativisticChern-Simonsvortices / 4.3:
Nonrelativistic Chern-Simons vortices: Jackiw-Pi model / 4.4:
NonabeliannonrelativisticChern-Simonsvortices / 4.5:
Vortices in the Zhang-Hansson-Kivelson model for FQHE / 4.6:
Vortex dynamics / 4.7:
Induced Chern-Simons terms
Perturbatively induced Chern-Simons terms: Fermion loop / 5.1:
Induced currents and Chern-Simons terms / 5.2:
Induced Chern-Simons terms without fermions / 5.3:
A finite temperature puzzle / 5.4:
Quantum mechanical finite temperature model / 5.5:
Exact finite temperature 2 + 1 effective actions / 5.6:
Finite temperature perturbation theory and Chern-Simons terms / 5.7:
Anyons / J. MyrheimCourse 4:
The concept of particle statistics
Statistical mechanics and the many-body problem
Experimental physics in two dimensions
The algebraic approach: Heisenberg quantization
More general quantizations
The configuration space
The Euclidean relative space for two particles
Dimensions d = 1, 2, 3
Homotopy
The braid group
Schrödinger quantization in one dimension
Heisenberg quantization in one dimension
The coordinate representation
Schrödinger quantization in dimension d ≥ 2
Scalar wave functions
Interchange phases
The statistics vector potential
The N-particle case
Chern-Simons theory
The Feynman path integral for anyons
Eigenstates for Position and momentum
The path integral
Conjugation classes in SN
The non-interacting case
Duality of Feynman and Schrödinger quantization
The harmonic oscillator / 7:
The two-dimensional harmonic oscillator / 7.1:
Two anyons in a harmonic oscillator potential / 7.2:
More than two anyons / 7.3:
The three-anyon problem / 7.4:
The anyon gas / 8:
The cluster and virial expansions / 8.1:
First and second order perturbative results / 8.2:
Regularization by periodic boundary conditions / 8.3:
Regularization by a harmonic oscillator potential / 8.4:
Bosons and fermions / 8.5:
Two anyons / 8.6:
Three anyons / 8.7:
The Monte Carlo method / 8.8:
The path integral representation of the coefficients <$>G_{\cal P}<$> / 8.9:
Exact and approximate polynomials / 8.10:
The fourth virial coefficient of anyons / 8.11:
Two polynomial theorems / 8.12:
Charged particles in a constant magnetic field / 9:
One particle in a magnetic field / 9.1:
Two anyons in a magnetic field / 9.2:
The anyon gas in a magnetic field / 9.3:
Interchange phases and geometric phases / 10:
Introduction to geometric phases / 10.1:
Two particles in a magnetic field / 10.2:
Interchange of two anyons in potential wells / 10.4:
Laughlin's theory of the fractional quantum Hall effect / 10.5:
Generalized Statistics in One Dimension / A.P. PolychronakosCourse 5:
Permutation group approach
Realization of the reduced Hilbert space
Path integral and generalized statistics
Cluster decomposition and factorizability
One-dimensional systems: Calogero model
The Calogero-Sutherland-Moser model
Large-N properties of the CSM model and duality
One-dimensional systems: Matrix model
Hermitian matrix model
The unitary matrix model
Quantization and spectrum
Reduction to spin-particle systems
Operator approaches
Exchange operator formalism
Systems with internal degrees of freedom
Asymptotic Bethe ansatz approach
The freezing trick and spin models
Exclusion statistics
Motivation from the CSM model
Semiclassics - Heuristics
Exclusion statistical mechanics
Exclusion statistics path integral
Is this the only "exclusion" statistics?
Epilogue
Lectures on Non-perturbative Field Theory and Quantum Impurity Problems / H.SaleurCourse 6:
Some notions of conformal field theory
The free boson via path integrals
Normal ordering and OPE
The stress energy tensor
Conformal in(co)variance
Some remarks on Ward identities in QFT
The Virasoro algebra: Intuitive introduction
Cylinders
The free boson via Hamiltonians
Modular invariance
Conformal invariance analysis of quantum impurity fixed points
Boundary conformal field theory
Partition functions and boundary states
Boundary entropy
The boundary sine-Gordon model: General results
The model and the flow
Perturbation near the UV fixed point
Perturbation near the IR fixed point
An alternative to the instanton expansion: The conformal invariance analysis
Search for integrability: Classical analysis
Quantum integrability
Conformal perturbation theory
S-matrices
Back to the boundary sine-Gordon model
The thermodynamic Bethe-ansatz: The gas of particles with "Yang-Baxter statistics"
Zamolodchikov Fateev algebra
The TBA
A Standard computation: The central Charge
Thermodynamics of the flow between N and D fixed points
Using the TBA to compute static transport properties
Tunneling in the FQHE
Conductance without impurity
Conductance with impurity
Quantum Partition Noise and the Detection of Fractionally Charged Laughlin Quasiparticles / D.C. GlattliSeminar 1:
Partition noise in quantum conductors
Quantum partition noise
Partition noise and quantum statistics
Quantum conductors reach the partition noise limit
Experimental evidences of quantum partition noise in quantum conductors
Partition noise in the quantum Hall regime and determination of the fractional Charge
Edge states in the integer quantum Hall effect regime
Tunneling between IQHE edge channels and partition noise
Edge channels in the fractional regime
Noise predictions in the fractional regime
Measurement of the fractional Charge using noise
Beyond the Poissonian noise of fractional charges
Mott Insulators, Spin Liquids and Quantum Disordered Superconductivity / Matthew P.A. FisherCourse 7:
Models and metals
Noninteracting electrons
Interaction effects
Mott insulators and quantum magnetism
Spin models and quantum magnetism
Spin liquids
Bosonization primer
2 Leg Hubbard ladder
Bonding and antibonding bands
Interactions
Bosonization
d-Mott phase
Symmetry and doping
d-Wave superconductivity
BGS theory re-visited
d-wave symmetry
Continuum description of gapless quasiparticles
Effective field theory
Quasiparticles and phase flucutations
Nodons
Vortices
ic/2e versus hc/e vortices
Duality
Nodal liquid phase
Half-filling
Doping the nodal liquid
Closing remarks
Lattice duality
Two dimensions / A.1:
Three dimensions / A.2:
Statistics of Knots and Entangled Random Walks / S. NechaevCourse 8:
Lecturers
Participants
Préface
10.

図書

図書
Doina Cioranescu and Patrizia Donato
出版情報: New York : Oxford University Press, 1999  ix, 262 p. ; 25 cm
シリーズ名: Oxford lecture series in mathematics and its applications ; 17
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Introduction
Weak and weak]*-convergences in Banach spaces / 1:
Rapidly oscillating periodic functions / 2:
Some classes in Sobolev spaces / 3:
Some variational elliptic problems / 4:
Examples of periodic composite materials / 5:
Homogenization of elliptic equations: the convergence result / 6:
The multiple-scale method / 7:
Tartar's method of oscillating test functions / 8:
The two-scale convergence method / 9:
Homogenization in linearized elasticity / 10:
Homogenization of the heat equation / 11:
Homogenization of the wave equation / 12:
General approaches to the non-periodic case / 13:
Bibliography
Index
Introduction
Weak and weak]*-convergences in Banach spaces / 1:
Rapidly oscillating periodic functions / 2:
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