edited by Emilia Mezzetti (Università di Trieste, Italy) & Sylvie Paycha (Université Clermont-Ferrand II, France)

This volume can be divided into two parts: a purely mathematical part with contributions on finance mathematics, interactions between geometry and physics and different areas of mathematics; another part on the popularization of mathematics and the situation of women in mathematics.

• 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)
  • Mαth-Kit: A Multimedia Project for Learning and Teaching Mathematics (S Schiller & L Unger)
  • and other papers