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MSI Colloquium


4pm Thursday 27 October 2005
Anthony Henderson
University of Sydney

Analytic functors and representations of wreath products

In enumerative combinatorics it is customary, when dealing with a sequence of numbers, to consider the generating function, i.e. the power series of which they are the coefficients. Joyal found that this construction has an equivariant analogue, where the sequence of numbers is replaced by a sequence of symmetric group representations and the power series is replaced by an `analytic functor'. I will explain his idea, generalize it to a slightly broader class of groups, and give an application to the cohomology of hyperplane complements.




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