Orateur
Simone Speziale
(CPT, Marseille)
Description
Loop quantum gravity is a background-independent approach to the
quantization of general relativity. The fundamental states of the
theory are described by spin networks, states associated with graphs
whose quantum numbers give the spectra of discrete and non-commuting
geometric operators. On a fixed graph, the quantum numbers can be
interpreted as a collection of fuzzy polyhedra describing a twisted
geometry. The maths describing the twisted geometry uses an amusing
interplay of symplectic geometry, group theory and Regge geometry
which I will describe in some details. There is also a connection to
twistors that I will briefly discuss.
