EVENT DETAILS AND ABSTRACT

Title: Equivariant operads and string topology
Speaker: Professor Craig Westerland
Speaker Info: University of Wisconsin - Madison
Brief Description:
Special Note:
Abstract:

From an operad C of topological spaces with an action of a group G, we construct new operads in spectra from the homotopy fixed point and orbit spectra. These new operads are equivalent when the generalized G-Tate cohomology of C is trivial. Applying this theory to the little disk operads C_k (which are SO(k)-operads) we obtain operads governing the Chas-Sullivan string bracket and conjecturally higher dimensional versions. I will also make some remarks about Koszul duality in this context.