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Titlebook: European Congress of Mathematics; Barcelona, July 10–1 Carles Casacuberta,Rosa Maria Miró-Roig,Sebastià X Conference proceedings 2001 Sprin

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Begriffsbestimmung Militarisierung,We survey a recent application of algebraic curves over finite fields to the constructions of authentication codes.
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Classification Results on Valuations on Convex SetsWe discuss classification results on continuous valuations on convex sets obtained mostly during the last five years. Also we briefly describe some earlier results.
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Geometric Methods in Complex AnalysisThe talk surveys the applications of geometric topology to complex analysis in several complex variables.
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Vanishing Cycles and MutationUsing Floer cohomology, we establish a connection between PicardLefschetz theory and the notion of mutation of exceptional collections in homological algebra.
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Curves over Finite Fields Attaining the Hasse-Weil Upper BoundCurves over finite fields (whose cardinality is a square) attaining the Hasse-Weil upper bound for the number of rational points are called maximal curves. Here we deal with three problems on maximal curves:
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