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Gonzalo Reyes - Topics in synthetic differential geometrye



GONZALO REYES, Département de mathématiques, Université de Montréal, Montréal, Québec  H3C 3H7
Topics in synthetic differential geometrye


After an introduction to `synthetic reasoning' used by geometers, physicists and engineers as a motivation for Synthetic Differential Geometry (SDG), some special topics in SDG will be discussed, including categories of differential equations and, more generally, categories of prolongations such as sprays, connections, almost complex structures and the like. The logical basis of SDG will also be discussed.