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Uniqueness of bounded solutions to aggregation equations by optimal transport methods / José A. Carrillo, Jesús Rosado  On the computation of the coefﬁcients of modular forms / Bas Edixhoven  Effective equidistribution and spectral gap / Manfred Einsiedler  Survey on aspherical manifolds / Wolfgang Lück  Wheeled props in algebra, geometry and quantization / Sergei A. Merkulov  Positive deﬁnite functions in distance geometry / Oleg R. Musin  From sparse graphs to nowhere dense structures: decompositions, independence, dualities and limits / Jaroslav Nešetřil, Patrice Ossona de Mendez  Bundle gerbes and surface holonomy / Jürgen Fuchs, Thomas Nikolaus, Christoph Schweigert, Konrad Waldorf  Topological ﬁeld theories in 2 dimensions / Constantin Teleman  The revolution of 1907 – Brouwer’s dissertation / Dirk van Dalen  New developments in combinatorial number theory and applications / Jean Bourgain  Large random planar maps and their scaling limits / JeanFrançois Le Gall  Geometry and nonarchimedean integrals / François Loeser  Feynman integrals and motives / Matilde Marcolli  Topological quantum ﬁeld theory: 20 years later / Nicolai Reshetikhin  Computational complexity and numerical stability of linear problems / Olga Holtz, Noam Shomron  Highdimensional distributions with convexity properties / Bo'az Klartag  Some recent results about the sixth problem of Hilbert: hydrodynamic limits of the Boltzmann equation / Laure SaintRaymond  Graded algebras associated to algebraic algebras need not be algebraic / Agata Smoktunowicz 

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The European Congress of Mathematics, held every four years, has established itself as a major international mathematical event. Following those in Paris (1992), Budapest (1996), Barcelona (2000) and Stockholm (2004), the Fifth European Congress of Mathematics (5ECM) took place in Amsterdam, The Netherlands, July 14–18, 2008, with about 1000 participants from 68 different countries.Ten plenary and thirtythree invited lectures were delivered. Three science lectures outlined applications of mathematics in other sciences: climate change, quantum information theory and population dynamics. As in the four preceding EMS congresses, ten EMS prizes were granted to very promising young mathematicians. In addition, the Felix Klein Prize was awarded, for the second time, for an application of mathematics to a concrete and difficult industrial problem. There were twentytwo minisymposia, spread over the whole mathematical area. Two round table meetings were organized: one on industrial mathematics and one on mathematics and developing countries.As part of the 44th Nederlands Mathematisch Congres, which was embedded in 5ECM, the socalled Brouwer lecture was presented. It is the Netherland's most prestigious award in mathematics, organized every three years by the Royal Dutch Mathematical Society. Information about Brouwer was given in an invited historical lecture during the congress.These proceedings contain a selection of the contributions to the congress, providing a permanent record of the best what mathematics offers today 
Subject 
Mathematics bicssc

Alt Author 
Ran, A.C.M., editor


te Riele, Herman, editor


Wiegerinck, Jan, editor

