Contents:

• Mathematics Applied to Finance:
• Derivatives: A Scientific Revolution of the Seventies (F Diener)
• Why Heavy Tails in Financial Series? Estimations and Tests (M Pontier)
• Portfolio Optimization in Finance (N Bellamy)
• Geometry:
• Analytical and Geometrical Features of de Rham and Dolbeault's Cohomologies (C de Fabritiis)
• The McKay Correspondence — A Bridge from Algebra to Geometry (Y Ito)
• Total Positivity, Flag Varieties and Quantum Cohomology (K Rietsch)
• Calabi–Yau Manifolds and Mirror Symmetry (X de la Ossa)
• Why is There Hyperbolic Geometry in Dynamics? (C Series)
• Tessellations and Related Modular Groups (A I Weiss)
• EMS Lectures on Convex Polytopes:
• Residue Formulae for Verlinde Sums, and for Number of Integral Points in Convex Rational Polytopes (M Vergne)
• Mathematics Outside the Classroom: Cultural Differences:
• Raising Public Awareness in Mathematics: The WMY2000 Experience (M Chaleyat-Maurel)
• Popularization of Mathematics: Local and Global Perspectives (F M Brückler)
• Socio-Political Dimension of Gender Inequality:
• Women and Science in Europe and in France (C Hermann)
• Focus on Italian Activities in Women and Science (R M Spitaleri)
• Mathematicians' Careers — Analysis of a Questionnaire (I Kersten & E Mezzetti)
• Short Communications:
• Hankel Operators on Generalized Bergman–Hardy Spaces (B Rehberg)
• Math-Kit: A Multimedia Project for Learning and Teaching Mathematics (S Schiller & L Unger)
• and other papers