ECM-2000, Barcelona, European Congress of Mathematics, Vol.2

Content: 
Front Matter....Pages i-xii
Classification Results on Valuations on Convex Sets....Pages 1-8
Towards a Microscopic Theory of Phase Coexistence....Pages 9-20
Constructing Compact 8-Manifolds with Holonomy Spin(7) from Calabi—Yau Orbifolds....Pages 21-30
Banach KK-Theory and the Baum-Connes Conjecture....Pages 31-46
An Introduction to Non-Commutative Mori Theory....Pages 47-53
Geometric Methods in Complex Analysis....Pages 55-64
Vanishing Cycles and Mutation....Pages 65-85
Critical Exponents, Conformal Invariance and Planar Brownian Motion....Pages 87-103
Computer Algebra Algorithms for Linear Ordinary Differential and Difference equations....Pages 105-119
Some Introductory Remarks on Computer Algebra....Pages 121-142
A Study of Iteration Formulas for Root Finding, Where Mathematics, Computer Algebra and Software Engineering Meet....Pages 143-156
Industrial Applications of Computer Algebra: Climbing Up a Mountain, Going Down a Hill....Pages 157-167
Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving....Pages 169-188
Explicit Towers of Drinfeld Modular Curves....Pages 189-198
Curves over Finite Fields Attaining the Hasse-Weil Upper Bound....Pages 199-205
Asymptotically Good Towers of Global Fields....Pages 207-218
Explicit Constructions of Towers of Function Fields with Many Rational Places....Pages 219-224
Curves over Finite Fields and Codes....Pages 225-238
Authentication Codes and Algebraic Curves....Pages 239-244
Some Aspects of Mean Curvature Flow in Presence of Nonsmooth Anisotropies....Pages 245-253
A Phase-Field Model for Diffusion-Induced Grain Boundary Motion....Pages 254-261
Evolution of a Closed Interface between Two Liquids of Different Types....Pages 263-272
Applications of a Local Energy Method to Systems of PDE’s Involving Free Boundaries....Pages 273-280
Phase Boundaries in Alloys with Elastic Misfit....Pages 281-289
Some Aspects of the Thin Film Equation....Pages 291-301
A Brief Overview on The Obstacle Problem....Pages 303-312
The Impact of Monotonicity Formulas in Regularity of Free Boundaries....Pages 313-318
A Free Boundary Problem: Contributions from Modern Analysis....Pages 319-329
Risk Sensitive Control with Applications to Fixed Income Portfolio Management....Pages 331-345
Wavelet Based PDE Valuation of Derivatives....Pages 347-365
Some Analytic Facts on the Generalized Hyperbolic Model....Pages 367-378
Functionals of Brownian Motion in Path-Dependent Option Valuation....Pages 379-390
Optimal Portfolios under a Value at Risk Constraint....Pages 391-397
Trace Formulas and Spectral Statistics of Diffractive Systems....Pages 399-411
Semiclassical Results in the Linear Response Theory....Pages 413-420
The Berry-Tabor Conjecture....Pages 421-427
On Quantum Unique Ergodicity for Linear Maps of the Torus....Pages 429-437
Bound Information: The Classical Analog to Bound Quantum Entanglemen....Pages 439-447
D-Branes on Calabi-Yau Manifolds....Pages 449-466
Knot Invariants and Chern-Simons Theory....Pages 467-477
Topological Quantum Field Theory and Four-Manifolds....Pages 479-488
D-Brane Conformal Field Theory and Bundles of Conformal Blocks....Pages 489-498
From Quiver Diagrams to Particle Physics....Pages 499-506
From Symplectic Packing to Algebraic Geometry and Back....Pages 507-524
New Invariants of Legendrian Knots....Pages 525-534
Contact Topology in Dimension Greater than Three....Pages 535-545
The Hamiltonian Seifert Conjecture: Examples and Open Problems....Pages 547-555
The Fine Geometry of the Cantor Families of Invariant Tori in Hamiltonian Systems....Pages 557-564
Symplectic and Contact Geometry and Hamiltonian Dynamics....Pages 565-573
Simple Coisotropic Projections and Caustics....Pages 575-582
Reassigned Scalograms and Singularities....Pages 583-590
The Impact of Wavelet Coefficient Correlations on Fractionally Differenced Process Estimation....Pages 591-599
Wavelet-Based Modelling of Persistent Periodicities....Pages 601-608
Network Traffic Modeling Using a Multifractal Wavelet Model....Pages 609-618
Denoising Via Block Wiener Filtering in Wavelet Domain....Pages 619-625
Wavelet Analysis of Discrete Time Series....Pages 627-641