EVENT DETAILS AND ABSTRACT

Title: A Presheaf Construction for Generalized Multicategories
Speaker: Tony Elmendorf
Speaker Info: Purdue University Calumet
Brief Description:
Special Note:
Abstract:

This talk will present a construction of generalized multicategories that is designed to account for the classical non-symmetric and symmetric cases, as well as the sort of equivariant permutative categories considered by Guillou and May as inputs for equivariant infinite loop space theory. It is a generalization of Leinster's monadic construction, which however does not account for (non-equivariant) permutative categories and symmetric multicategories. The main result is the construction of a left adjoint to the forgetful functor, generalizing the free permutative category on a symmetric multicategory. The construction of the left adjoint requires some machinery that may be of interest in its own right.