3rd European congress of mathematics (ECM), Barcelona, Spain, July 10--14, 2000. Volume I (Q5948013)

The articles of this volume will be reviewed individually. The preceding conference (2, 1996) has been reviewed (see Zbl 0893.00027, Zbl 0893.00028). The video and the CD-ROM of the 3rd ECM have been reviewed (see Zbl 0955.00003 and Zbl 0967.00055). For Vol. II see Zbl 0972.00033. Indexed articles: \textit{Dijkgraaf, Robbert}, The mathematics of M-theory, 1-19 [Zbl 1023.81037] \textit{Föllmer, Hans}, Probabilistic aspects of financial risk, 21-36 [Zbl 1047.91041] \textit{Lenstra, Hendrik W. jun.}, Flags and lattice basis reduction, 37-51 [Zbl 1101.11053] \textit{Manin, Yuri I.}, Moduli, motives, mirrors, 53-73 [Zbl 1099.14506] \textit{Meyer, Yves}, The role of oscillations in some nonlinear problems, 75-99 [Zbl 1032.35002] \textit{Simó, Carles}, New families of solutions in \(N\)-body problems, 101-115 [Zbl 1101.70009] \textit{Vignéras, Marie-France}, Irreducible modular representations of a reductive \(p\)-adic group and simple modules for Hecke algebras, 117-133 [Zbl 1024.22011] \textit{Viro, Oleg}, Dequantization of real algebraic geometry on logarithmic paper, 135-146 [Zbl 1024.14026] \textit{Ahlswede, Rudolf}, Advances on extremal problems in number theory and combinatorics, 147-175 [Zbl 1094.11001] \textit{Bach, Volker}, Spectral analysis of nonrelativistic quantum electrodynamics, 177-201 [Zbl 1024.81010] \textit{Baladi, Viviane}, Spectrum and statistical properties of chaotic dynamics, 203-223 [Zbl 1021.37016] \textit{Bruna, Joaquim}, Sampling in complex and harmonic analysis, 225-246 [Zbl 1028.42030] \textit{Burq, Nicolas}, Lower bounds for shape resonances widths of Schrödinger operators, 247-257 [Zbl 1098.35119] \textit{Cabré, Xavier}, A conjecture of De Giorgi on symmetry for elliptic equations in \(\mathbb R^n\), 259-265 [Zbl 1101.35030] \textit{Cameron, Peter J.}, The random graph revisited, 267-274 [Zbl 1023.05124] \textit{Chatzidakis, Zoé}, Difference fields: model theory and applications to number theory, 275-287 [Zbl 1101.12301] \textit{Ciliberto, Ciro}, Geometric aspects of polynomial interpolation in more variables and of Waring's problem, 289-316 [Zbl 1078.14534] \textit{Dal Maso, Gianni}, The calibration method for free discontinuity problems, 317-326 [Zbl 1041.49015] \textit{Denef, Jan; Loeser, François}, Geometry on arc spaces of algebraic varieties, 327-348 [Zbl 1079.14003] \textit{Fantechi, Barbara}, Stacks for everybody, 349-359 [Zbl 1021.14003] \textit{Goncharov, Alexander B.}, Multiple \(\zeta\)-values, Galois groups, and geometry of modular varieties, 361-392 [Zbl 1042.11042] \textit{Grigor'yan, Alexander}, Heat kernels on manifolds, graphs and fractals, 393-406 [Zbl 1057.58010] \textit{Harris, Michael}, Local Langlands correspondences and vanishing cycles on Shimura varieties, 407-427 [Zbl 1025.11038] \textit{Iturriaga, Renato; Khanin, Konstantin}, Burgers turbulence and dynamical systems, 429-443 [Zbl 1024.76019] \textit{Johansson, Kurt}, Random growth and random matrices, 445-456 [Zbl 1030.60094] \textit{Koskela, Pekka}, Sobolev spaces and quasiconformal mappings on metric spaces, 457-467 [Zbl 1022.30021] \textit{Manton, Nicholas S.; Piette, Bernard M. A. G.}, Understanding skyrmions using rational maps, 469-479 [Zbl 1023.81518] \textit{Moerdijk, Ieke}, Models for the leaf space of a foliation, 481-489 [Zbl 1028.57028] \textit{Opdam, Eric M.}, Multivariable hypergeometric functions, 491-508 [Zbl 1098.33009] \textit{Peternell, Thomas}, Contact structures, rational curves and Mori theory, 509-518 [Zbl 1072.14509] \textit{Reznikov, Alexander}, Analytic topology, 519-532 [Zbl 1035.53042] \textit{Schmidt, Bernhard}, Towards Ryser's conjecture, 533-541 [Zbl 1030.05018] \textit{Schmidt, Klaus}, The dynamics of algebraic \(\mathbb{Z}^d\)-actions, 543-553 [Zbl 1071.28011] \textit{Tóth, Bálint}, Self-interacting random motions, 555-564 [Zbl 1101.82011] \textit{van den Ban, Erik; Schlichtkrull, Henrik}, Harmonic analysis on reductive symmetric spaces, 565-582 [Zbl 1028.43013]