Topology and Geometry Seminar

Location: AH 347

Speaker: Aditya Dwarkesh, University of Regina

Title: Higher Connections II: The bar-cobar adjunction

Abstract:  

Continuing our exploration of formal connections, we will see how the bar construction gives us a way to interpret it as a morphism between homotopy associative algebras. We will also see how its adjoint, the cobar construction, is used to prove that the holonomy of a formal connection gives an isomorphism into the homology of a manifold's based loop space.

This event is sponsored by PIMS.