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図書
図書
1. Mathematical methods for protein structure analysis and design : C.I.M.E. Summer School, Martina Franca, Italy, July 9-15, 2000 : advanced lectures
[Concettina Guerra, Sorin Istrail (eds.)]
出版情報: Berlin ; Tokyo : Springer, c2003  xi, 157 p. ; 24 cm
シリーズ名: Lecture notes in computer science ; 2666 . Lecture notes in bioinformatics
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目次情報: 続きを見る
Protein Structure Comparison: Algorithms and Applications / Giuseppe Lancia ; Sorin Istrail
Introduction / 1：
Preliminaries / 2：
Applications of Structure Comparisons / 3：
Software and Algorithms for Structure Comparison / 4：
Problems Based on Contact Map Representations / 5：
Acknowledgements / 6：
References
Spatial Pattern Detection in Structural Bionformatics / Haim J. Wolfson
Protein Shape Representation
Protein Structural Alignment
Protein-Protein Docking
Summary
Geometric Methods for Protein Structure Comparison / Carlo Ferrari ; Concettina Guerra
Protein Description
Structural Comparison: Problem Formulation
Representation of Rigid Transformations
Determination of 3D Rigid Transformations
Geometric Pattern Matching
Indexing Techniques / 7：
Graph-Theoretic Approaches / 8：
Integration of Methods for Protein Comparison Using Different Representations / 9：
Conclusions / 10：
Identifying Flat Regions and Slabs in Protein Structures / Mary Ellen Bock11：
A Geometric Algorithm
An Improved Geometric Algorithm
Hough Transform
Performances of the Two Algorithms
Plane Detection in Proteins
Optima: A New Score Function for the Detection of Remote Homologs / Maricel Kann ; Richard A. Goldstein
Abstract
Methods
A Comparison of Methods for Assessing the Structural Similarity of Proteins / Dean C. Adams ; Gavin J.P. Naylor
The DALI Algorithm
The Root Mean Square Algorithm
Geometric Morphometrics
Comparison of Methods
Discussion
Prediction of Protein Secondary Structure at High Accuracy Using a Combination of Many Neural Networks / Claus Lundegaard ; Thomas Nordahl Petersen ; Morten Nielsen ; Henrik Bohr ; Jacob Bohr ; Soren Brunak ; Garry Gippert ; Ole Lund
Results
Self-consistent Knowledge-Based Approach to Protein Design / Andrea Rossi ; Cristian Micheletti ; Flavio Seno ; Amos Maritan
The Design Strategy
Results and Discussion
Protein Structure from Solid-State NMR / John R. Quine ; Timothy A. Cross
Discrete Curves
Tensors and NMR
Structure from Orientational Constraints
Acknowledgment
Learning Effective Amino-Acid Interactions / Jayanth R. Banavar
Models and Techniques
Proteinlike Properties of Simple Models / Yves-Henri Sanejouand ; Georges Trinquier
The 3x3x3 Cubic Lattice Model
N-Soft-Spheres Models
List of participants
Protein Structure Comparison: Algorithms and Applications / Giuseppe Lancia ; Sorin Istrail
Introduction / 1：
Preliminaries / 2：
2.

図書
図書
2. Topics in spatial stochastic processes : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, July 1-8, 2001
V. Capasso ... [et al.] ; editor, Ely Merzbach
出版情報: Berlin ; Tokyo : Springer, c2003  vi, 251 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1802 . Fondazione C.I.M.E., Firenze
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3.

図書
図書
3. Iwahori-Hecke algebras and their representation theory : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 28-July 6, 1999
I. Cherednik ... [et al.] ; editors, M. Welleda Baldoni, Dan Barbasch
出版情報: Berlin ; Tokyo : Springer, c2002  vii, 109 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1804 . Fondazione C.I.M.E., Firenze / adviser, Pietro Zecca and European Mathematical Society
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4.

図書
図書
4. Quantum cohomology : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30 - July 8, 1997
K. Behrend ... [et al.] ; editors, P. de Bartolomeis, B. Dubrovin, C. Reina
出版情報: Berlin : Springer, c2002  viii, 318 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1776 . Fondazione C.I.M.E., Firenze / adviser, Arrigo Cellina
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目次情報: 続きを見る
Quantum Cohomology
Introduction
Localization and Gromov-Witten Invariants / K. Behrend
Lecture I: A short introduction to stacks / 1：
What is a variety? / 2.1：
Algebraic spaces / 2.2：
Groupoids / 2.3：
Fibered products of groupoids / 2.4：
Algebraic stacks / 2.5：
Lecture II: Equivariant intersection theory / 3：
Intersection theory / 3.1：
Equi variant theory / 3.2：
Comparing equi variant with usual intersection theory / 3.3：
Localization / 3.4：
The residue formula / 3.5：
Lecture III: The localization formula for Gromov-Witten invariants / 4：
The fixed locus / 4.1：
The first step / 4.2：
The second step / 4.3：
The third step / 4.4：
Conclusion / 4.5：
Fields, Strings and Branes / César Gómez ; Rafael Hernández
Chapter I
Dirac Monopole / 1.1：
The't Hooft-Polyakov Monopole / 1.2：
Instantons / 1.3：
Dyon Effect / 1.4：
Yang-Mills Theory on T4 / 1.5：
The Toron Vortex / 1.5.1：
't Hooft's Toron Configurations / 1.5.2：
Instanton Effective Vertex / 1.6：
Three Dimensional Instantons / 1.7：
Callias Index theorem / 1.7.1：
The Dual Photon as Goldstone Boson / 1.7.2：
N = 1 Supersymmetric Gauge Theories / 1.8：
Instanton Generated Superpotentials in Three Dimensional N = 2 / 1.9：
A Toron Computation / 1.9.1：
Chapter II
Moduli of Vacua
N = 4 Three Dimensional Yang-Mills
Atiyah-Hitchin Spaces
Kodaira's Classification of Elliptic Fibrations
The Moduli Space of the Four Dimensional N = 2 Supersymmetric Yang-Mills Theory. The Seiberg Witten Solution
Effective Superpotentials / 2.6：
Chapter III
Bosonic String
Classical Theory / 3.1.1：
Background Fields / 3.1.2：
World Sheet Symmetries / 3.1.3：
A Toroidal Compactification / 3.1.4：
σ-Model K3 Geometry. A First Look To A Quantum Cohomology / 3.1.5：
Elliptically Fibered K3 And Mirror Symmetry / 3.1.6：
The Open Bosonic String / 3.1.7：
D-Branes / 3.1.8：
Chan-Paton Factors And Wilson Lines / 3.1.9：
Superstring Theories
Toroidal Compactification of Type üa and Type üb Theories. U-Duality / 3.2.1：
Etherotic String / 3.2.2：
Etherotic Compactification to Four Dimensions / 3.2.3：
Chapter IV
M-Theory Compactifications
M-Theory Instantons
D-Brane Configurations in Flat Space
D-Brane Description of Seiberg-Witten Solution
M-Theory and Strogn Coupling / 4.4.1：
Brane Description of N = 1 Four Dimensional Field Theories
Rotation of Branes / 4.5.1：
QCD Strings and Scales / 4.5.2：
N = 2 Models With Vanishing Beta Functions / 4.5.3：
M-Theory and String Theory / 4.6：
Local Models for Elliptic Fibrations / 4.7：
Singularities of Type <$$>: Z(2) Orbifolds / 4.8：
Singularities of Type <$$> / 4.9：
Decompactification and Affinization / 4.10：
M-Theory Instantons and Holomorphic Euler Characteristic / 4.12：
θ-Parameter and Gaugino Condensates / 4.13：
Domain Walls and Intersections / 4.14：
M(atrix) Theory / A：
The Holographic Principle / A.l：
Toroidal Compactifications / A.2：
M(atrix) Theory and Quantum Directions / A.3：
Acknowledgments / A.4：
g-Hypergeometric Functions and Representation Theory / Vitali Tarasov
One-dimensional differential example
One-dimensional difference example
The hypergeometric Riemann identity
Basic notations
The hypergeometric integral
The hypergeometric spaces and the hypergeometric pairing
The Shapovalov pairings
Tensor coordinates on the hypergeometric spaces and the hypergeometric maps
Bases of the hypergeometric spaces
Tensor coordinates and the hypergeometric maps
Difference equations for the hypergeometric maps
Asymptotics of the hypergeometric maps
Proof of the hypergeometric Riemann identity
Discrete local systems and the discrete Gauss-Manin connection / 5：
Discrete flat connections and discrete local systems / 5.1：
Discrete Gauss-Manin connection / 5.2：
Discrete local system associated with the hypergeometric integrals / 5.3：
Periodic sections of the homological bundle via the hypergeometric integral / 5.4：
The quantum loop algebra <$$> and the qKZ equation / 6：
Highest weight <$$>-modules / 7.1：
The quantum loop algebra <$$> / 7.2：
The trigonometric qKZ equation / 7.3：
Tensor coordinates on the trigonometric hypergeometric spaces / 7.4：
The elliptic quantum group <$$> / 8：
Modules over the elliptic quantum group <$$> / 8.1：
Tensor coordinates on the elliptic hypergeometric spacess / 8.2：
The hypergeometric maps / 8.3：
Asymptotic solutionss of the qKZ equation / 9：
Six determinant formulae
The Jackson integrals via the hypergeometric integrals / B：
Constructing symplectic invariants / GangTian
Euler class of weakly Fredholm V-bundles
Smooth stratified orbispaces
Weakly pseudocycles
Weakly Fredholm V-bundles
Construction of the Euler class
GW-invariants
Stable maps
Stratifying the space of stable maps
Topology of the space of stable maps
Compactness of moduli spaces
Constructing GW-invariants
Composition laws for GW-invariants
Rational GW-invariants for projective spaces / 2.7：
Some simple applications
Quantum cohomology
Examples of symplectic manifolds
Quantum Cohomology
Introduction
Localization and Gromov-Witten Invariants / K. Behrend
5.

図書
図書
5. Real methods in complex and CR geometry : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 30-July 6, 2002
M. Abate ... [et al.] ; editors, D. Zaitsev, G. Zampieri
出版情報: Berlin : Springer, c2004  ix, 218 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1848 . Fondazione C.I.M.E., Firenze / adviser, Pietro Zecca
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Angular Derivatives in Several Complex Variables / Marco Abate
Introduction / 1：
One Complex Variable / 2：
Julia's Lemma / 3：
Lindelöf Principles / 4：
The Julia-Wolff-Caratheodory Theorem / 5：
References
Real Methods in Complex Dynamics / John Erik Fornæss
Lecture 1: Introduction to Complex Dynamics and Its Methods
General Remarks on Dynamics / 1.1：
An Introduction to Complex Dynamics and Its Methods / 1.3：
Lecture 2: Basic Complex Dynamics in Higher Dimension
Local Dynamics / 2.1：
Global Dynamics / 2.2：
Fatou Components / 2.3：
Lecture 3: Saddle Points for Hénon Maps
Elementary Properties of Hénon Maps / 3.1：
Ergodicity and Measure Hyperbolicity / 3.2：
Density of Saddle Points / 3.3：
Lecture 4: Saddle Hyperbolicity for Henon Maps
Proof of Theorem 4.10 / 4.1：
Proof of Theorem 4.9 / 4.3：
Local Equivalence Problems for Real Submanifolds in Complex Spaces / Xiaojun Huang
Global and Local Equivalence Problems
Formal Theory for Levi Non-degenerate Real Hypersurfaces
General Theory for Formal Hypersurfaces
Hk-Space and Hypersurfaces in the Hk-Normal Form
Application to the Rigidity and Non-embeddability Problems
Bishop Surfaces with Vanishing Bishop Invariants / 2.4：
Formal Theory for Bishop Surfaces with Vanishing Bishop Invariant
Moser-Webster's Theory on Bishop Surfaces with Non-exceptional Bishop Invariants
Complexification M of M and a Pair of Involutions Associated with M
Linear Theory of a Pair of Involutions Intertwined by a Conjugate Holomorphic Involution
General Theory on the Involutions and the Moser-Webster Normal Form
Geometric Method to the Study of Local Equivalence Problems
Cartan's Theory on the Equivalent Problem / 5.1：
Segre Family of Real Analytic Hypersurfaces / 5.2：
Cartan-Chern-Moser Theory for Germs of Strongly Pseudoconvex Hypersurfaces / 5.3：
Introduction to a General Theory of Boundary Values / Jean-Pierre Rosay
Introduction - Basic Definitions
What Should a General Notion of Boundary Value Be?
Definition of Strong Boundary Value (Global Case)
Remarks on Smooth (Not Real Analytic) Boundaries
Analytic Functionals / 1.4：
Analytic Functional as Boundary Values / 1.5：
Some Basic Properties of Analytic Functionals / 1.6：
Carriers - Martineau's Theorem
Local Analytic Functionals
Hyperfunctions / 1.7：
The Notion of Functional (Analytic Functional or Distribution, etc.) Carried by a Set, Defined Modulo Similar Functionals Carried by the Boundary of that Set
Limits / 1.8：
Theory of Boundary Values on the Unit Disc
Functions u(t,?) That Have Strong Boundary Values (Along t = 0)
Boundary Values of Holomorphic Functions on the Unit Disc
Independence on the Defining Function
The Role of Subharmonicity (Illustrated Here by Discussing the Independence on the Space of Test Functions)
The Hahn Banach Theorem in the Theory of Analytic Functionals
A Hahn Banach Theorem
Some Comments
The Notion of Good Compact Set
The Case of Non-Stein Manifolds / 3.4：
Spectral Theory
Non-linear Paley Wiener Theory and Local Theory of Boundary Values
The Paley Wiener Theory
Application
Application to a Local Theory of Boundary Values
Extremal Discs and the Geometry of CR Manifolds Alexander Tumanov
Extremal Discs for Convex Domains
Real Manifolds in Complex Space
Extremal Discs and Stationary Discs
Coordinate Representation of Stationary Discs
Stationary Discs for Quadrics
Existence of Stationary Discs / 6：
Geometry of the Lifts / 7：
Defective Manifolds / 8：
Regularity of CR Mappings / 9：
Preservation of Lifts / 10：
Angular Derivatives in Several Complex Variables / Marco Abate
Introduction / 1：
One Complex Variable / 2：
6.

電子ブック
ＥＢ
6. Controllability and Observability
C.I.M.E. Summer School, E. Evangelisti, Centro internazionale matematico estivo.
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2011
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7.

電子ブック
ＥＢ
7. Differential Operators on Manifolds
C.I.M.E. Summer School, Edoardo Vesentini, Centro internazionale matematico estivo.
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2011
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8.

電子ブック
ＥＢ
8. Differential Topology
C.I.M.E. Summer School, Vinicio Villani, Centro internazionale matematico estivo.
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2011
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9.

電子ブック
ＥＢ
9. Functional Equations and Inequalities
C.I.M.E. Summer School, B. Forte, Centro internazionale matematico estivo., B V Senthil Kumar, K Ravi
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2011
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10.

電子ブック
ＥＢ
10. Algebraic Surfaces
C.I.M.E. Summer School, Giuseppe Tomassini, Centro internazionale matematico estivo.
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2011
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