  In this short paper, we will review the proposal of a correspondence between
the doubled geometry of Double Field Theory and the higher geometry of bundle
gerbes. Double Field Theory is T-duality covariant formulation of the
supergravity limit of String Theory, which generalises Kaluza-Klein theory by
unifying metric and Kalb-Ramond field on a doubled-dimensional space. In light
of the proposed correspondence, this doubled geometry is interpreted as an
atlas description of the higher geometry of bundle gerbes. In this sense,
Double Field Theory can be interpreted as a field theory living on the total
space of the bundle gerbe, just like Kaluza-Klein theory is set on the total
space of a principal bundle. This correspondence provides a higher geometric
interpretation for para-Hermitian geometry which opens the door to its
generalisation to the other Extended Field Theories. This review is based on,
but not limited to, my talk at the workshop Generalized Geometry and
Applications at Universit\"at Hamburg on 3rd of March 2020.

High Energy Physics - Theory;Differential Geometry