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| 1 | 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 hierachy 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. Keywords: supergravity, extended geometry, dualities, exceptional field theory | 1434 | ||||