  A brief description of the supersymmetric and duality covariant approach to
supergravity is presented. The formalism is based on exceptional geometric
structures and turns the hidden U-duality group into a manifest gauge symmetry.
Tensor hierarchy of gauged supergravity appears naturally here as a consequence
of covariance of the construction. Finally, the full supersymmetric Lagrangian
is explicitly constructed. This work was presented on the International
Conference "Quantum Field Theory and Gravity (QFTG'14)" in Tomsk.
