Operator algebras in geometric quantisation

10:40 am to 11:40 am, May 13th, 2015   Science Building A1510

Abstract:

Geometric quantisation can be viewed as a branch of index theory, inspired by the relation between classical and quantum mechanics. In particular, the "quantisation commutes with reduction" principle is a localisation problem in equivariant index theory, motivated by physics. I will discuss how index-theoretic tools from $K$-theory, $K$-homology and $KK$-theory of $C^*$-algebras can be used in this context.