Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Benjamin Knudsen
Affiliation:

Harvard University
Date:

Mon, 13/02/2017 - 11:45 - 12:15 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 combination of good formal properties and computability, the latter afforded

by a PoincarĂ©-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, improvements of classical results, and a combinatorial proof of homological stability.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/6791