CONTENTS -- Foreword by Michael Atiyah -- Foreword by Chen Ning Yang -- Preface -- Plenary Lectures -- Yangian and Applications -- The hypoelliptic Laplacian and Chern-Gauss-Bonnet -- S. S. Chern and Chern-Simons Terms -- Localization and Conjectures from String Duality -- Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation -- Invited Contributions -- Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions -- Theoretical Analysis of the Double Spin Chain Compound KCuCl3 -- Applications of Geometric Cluster Algorithms -- Equivariant Cohomology and Localization for Lie Algebroids and Applications -- Directed Percolation in Two Dimensions: An Exact Solution -- Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl2 Loop Algebra -- On the Physical Significance of q-deformation in Many-body Physics -- A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model -- A 2h-dimensional Model with Virasoro Symmetry -- 3-dimensional Integrable Lattice Models and the Bazhanov- Stroganov Model -- Exact Solution of Two Planar Polygon Models -- Quasi-exact Solvability of Dirac Equations -- Exotic Galilean Symmetry, Non-commutativity & the Hall Effect -- The Energy-momentum and Related Topics in Gravitational Radiation -- Quantum Operators and Hermitian Vector Fields -- Electric-magnetic Duality Beyond Four Dimensions and in General Relativity -- Topology and Quantum Information -- Generalized Cohomologies and Differential Forms of Higher Order -- Periodic Cellular Automata and Bethe Ansatz -- An L²-Alexander-Conway Invariant for Knots and the Volume Conjecture -- Faddeev Knots, Skyrme Solitons, and Concentration-Compactness -- Dynamics of Bose-Einstein Condensates -- Twisted Space-Time Symmetry, Non-Commutativity and Particle Dynamics.

Toeplitz Quantization and Symplectic Reduction -- On Mysteriously Missing T-duals, H-flux and the T-duality Group -- Murphy Operators in Knot Theory -- Bethe Ansatz for the Open XXZ Chain from Functional Relations at Roots of Unity -- Separation Between Spin And Charge in SU(2) Yang-Mills Theory -- On Solutions of the One-dimensional Holstein Model -- Recent Developments on Ising and Chiral Potts Model -- Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model -- The Cyclic Renormalization Group -- Bohm-Aharonov Type Effects in Dissipative Atomic Systems -- Noncommutative Procedures in Spontaneous Symmetry Breaking and Quantum Differentiation -- Löwner Equations and Dispersionless Hierarchies -- Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras -- A Correlation-Function Bell Inequality with Improved Visibility for 3 Qubits -- Topological Aspects of the Spin Hall Effect -- Positive Mass Theorems and Calabi-Yau Compactification -- Analytic Torsion and an Invariant of Calabi-Yau Threefold -- Differential Galois Groups of High Order Fuchsian ODE's -- Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces -- Some Observations on Gopakumar-Vafa Invariants of Some Local Calabi-Yau Geometries.