Speaker
Thomas Schucker
Description
In this lecture we will focus on the modifications
to the Hilbert-Einstein action coming from
noncommutative geometry: At
lowest order approximation, we have curvature squared
corrections,
boundary terms and torsion terms. Applications of these
first order
corrections to cosmology are reviewed. Higher order
terms will be
briefly mentioned and how little we know about the
exact spectral
action even in the commutative case i.e. Riemannian
geometry and even
after the dramatic reduction of gravitational degrees of
freedom by
use of the cosmological principle.