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Gravity
in string theory is a generalized version of Einstein's theory with some
universal features that call for a reformulation
of
the key geometrical concepts. In addition to the metric tensor, for
example, string theory contains an antisymmetric tensor and a dilaton that
allow for extra symmetries. A new branch of mathematics, Generalized Geometry,
suggests a framework that finds a realization in the recent Double Field Theory
formulation of string gravity. I will describe the main ideas, the progress,
and the mysteries that remain in the search for a proper description of string
gravitation.