Data:	Venerdì 19 Febbraio 2016, ore 16:00
Luogo:	Aula D'Antoni, Dip. Matematica, Univ. Roma "Tor Vergata"
Speaker:	Sebastiano Carpi, University of Chieti-Pescara
Titolo:	"Loop groups and noncommutative geometry"
Abstract:	We describe the representation theory of loop groups in terms of K-theory and noncommutative geometry. This is done by constructing suitable spectral triples associated with the level l projective unitary positive-energy representations of any given loop group LG. The construction is based on certain supersymmetric conformal field theory models associated with LG. The construction can be generalized, in the setting of conformal nets, to many other rational chiral conformal field theory models including coset models and the moonshine conformal net. (Based on a joint work with Robin Hillier)