Abstract Robin Cockett

Title: Abstract differential geometry matters!


The last few years has seen the development -- largely in Canada and Australia -- of an axiomatic approach to differential geometry based on tangent categories.  Tangent categories incorporate the previous leading settings for differential geometry: finite dimensional manifolds, synthetic differential geometry, convenient manifolds, etc.  In addition they widen the scope significantly as they also include combinatorial species, Goodwillie Functor calculi, and examples from computer science. The talk will give a survey of tangent categories and some of the developments so far.

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