Orthogonal Calculus and Model Categories

David Barnes (University of Sheffield)

Monday 14th February, 2011 16:00-17:00 204


Orthogonal calculus is a calculus of functors, inspired by Goodwillie calculus. It takes as input a functor from finite dimensional inner product spaces to topological spaces and as output gives a tower of approximations by well-behaved functors. The output captures a lot of important homotopical information, such as Stiefel-Whitney classes and Pontryagin classes. In this talk I will define orthogonal calculus, discuss some of the interesting examples and then report on joint work with Peter Oman in which we use model categories to improve the foundations of orthogonal calculus.

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