Speaker
Gianluca Calcagni
Description
We
review a recent proposal where spacetime is
characterized by a
multifractal geometry where dimension changes with the
scale. This
"anomalous" type of spacetime texture improves the UV
behaviour of
perturbative quantum field theories, including gravity.
After
introducing the basic ingredients, we discuss properties
of quantum
mechanics and field theories living thereon, with
applications to
gravity and cosmology. The formalism has also
connections with
noncommutative geometry and other theories of
quantum gravity based
upon the renormalization group flow.
