EVENT DETAILS AND ABSTRACT

Title: Higher enveloping algebras and configuration spaces of manifolds
Speaker: Ben Knudsen
Speaker Info: Northwestern
Brief Description: Thesis defense
Special Note:
Abstract:

I will describe a construction providing Lie algebras with enveloping algebras over the operad of little n-dimensional disks for any n. These algebras enjoy a fortunate combination of good formal properties and computability, the latter afforded by a Poincare-Birkhoff-Witt type result. The main application pairs this theory with the theory of factorization homology in a study of the rational homology of configuration spaces, leading to a wealth of computations, the recovery and improvement of several classical results, and a combinatorial proof of homological stability.