EVENT DETAILS AND ABSTRACT

Title: Generalized and equivariant multicategories
Speaker: Tony Elmendorf
Speaker Info: Purdue University Calumet
Brief Description:
Special Note: CANCELLED
Abstract:

Leinster developed a general procedure for defining multicategories using monads satisfying a Cartesian property. However, his definition only captures the usual notion of multicategory in the case when the multicategory doesn't have a symmetric structure. By looking at additional structure available when we start with a general Sigma-free operad in Cat, we can account for the symmetric structure, and thereby generalize Leinster's construction to this case. The construction also easily accounts for the sort of equivariant operads considered by Guillou, May, and Merling in their ongoing study of equivariant infinite loop space theory via equivariant permutative categories. There are several natural conjectures that we will discuss.