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Speaker:

Benjamin Knudsen
Affiliation:

Harvard University
Date:

Mon, 13/02/2017 - 11:45 - 12:15
Location:

MPIM Lecture Hall 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 Poincaré-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.

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