Lie Groups Seminar
Friday, April 10, 2015 - 3:30pm
Malott 406
Factorization homology is a new technology developed by Lurie and others - it is a more sensitive notion of a homology theory, specified to manifolds of a given dimension. While the specialization and the development require some new language, the result is a collection of invariants which are able to distinguish properties inaccessible to classical homology theories. A tactile application comes about by studying the configuration space of points on a fixed manifold $M$, which has classical homology groups detected by current Lie algebras associated to the manifold. We will inspect the construction of this technology and see what ties it may have to Lie theory.