جزییات کتاب
This volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics. The main topics are Arnold diffusion, central configurations, singularities in few-body problems, billiards, area-preserving maps, and geometrical mechanics. All papers in the volume went through the refereeing process typical of a mathematical research journal 1. About the organization European Women in Mathematics -- Presentation of EWM -- History of the EWM office: a brief history of the EWM office in Helsinki, 1991-2001 / Marjatta Näätänen -- History of the EWM meetings: a brief account of the meetings since the 5th meeting in Luminy / Emilia Mezzetti, Sylvie Paycha -- Report on EWM activites: a report on activities since the 9th meeting in Loccum / Laura Fainsilber -- About EWM proceedings: the mathematical part of EWM meetings / Capi Corrales Rodriganez, Laura Tedeschini Lalli -- 2. Photo gallery -- 3. Contributions -- 3. Mathematics applied to finance -- Introduction ; Derivatives: a scientific revolution of the seventies / Francine Diener -- Why heavy tails in financial series? Estimations and tests / Monique Pontier -- Portfolio optimization in finance / Nadine Bellamy -- Report on discussion on The ethics of using mathematics in finance / Francine Diener -- 3.2 Geometry -- 3.2.1 Cohomology theories: a useful tool in geometry -- Introduction / Emilia Mezzetti, Sylvie Paycha -- Analytical and geometrical features of de Rham and Dolbeault's cohomologies / Chiara de Fabritiis -- McKay correspondence - a bridge from algebra to geometry / Yukari Ito -- Total positivity, flag varieties and quantum cohomology / Konstanze Rietsch -- 3.2.2 The uses of geometry -- Introduction / Tsou Sheung Tsun -- Calabi-Yau manifolds and mirror symmetry / Xenia de la Ossa -- Why is there hyperbolic geometry in dynamics? / Caroline Series -- Tessellations and related modular groups / Asia Ivić Weiss -- 3.3 EMS lectures on convex polytopes -- Introduction to the EMS lectures / Michele Vergne / Bodil Branner -- Residue formulae for Verlinde sums, and for number of integral points in convex rational polytopes / Michèle Bergne -- 3.4 Poster session -- Report / Tatiana Ivanova -- 3.5 Mathematics outside the classroom: cultural differences -- Introduction / Laura Fainsilber, Marie-Françoise Roy, Rosa Maria Spitaleri -- Raising public awareness in mathematics: the WMY2000 experience / Mireille Chaleyat-Maurel -- Popularization of mathematics: local and global perspectives / Franka Miriam Brückler -- 3.6 Socio-political dimension of gender inequality -- Introduction / Laura Fainsilber, Marie-Françoise Roy, Rosa Maria Spitaleri -- Women and science in Europe and in France / Claudine Hermann -- Focus on Italian activities in women and science / Rosa Maria Spitaleri -- Mathematicians' careers - analysis of a questionnaire / Ina Kersten, Emilia Mezzetti -- Short communications -- Hankel operators on generalized Bergman-Hardy spaces / Bettina Rehberg -- M[alpha]th-kit: a multimedia project for learning and teaching mathematics / Sabine Schiller, Luise Unger