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 - an introduction, N. Bellamy. Geometry: cohomology of sheaves, B. Fantechi; 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. EMS lectures on convex polytopes: volumes and 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 not so local perspective, F.M. Bruckler. 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 and 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 and L. Unger. (Part contents.)