Geometry of Reggeized amplitudes from AdS/CFT

String theory has long ago been initiated by the quest for a theoretical explanation of the observed high-energy ``Reggeization'' of strong interaction amplitudes. In terms of quantum field theory, it is the so-called ``soft'' regime, where the coupling constant is expected to be large and thus perturbative calculations inadequate. However, since then, no convincing derivation of the link between gauge field theory at strong coupling and string theory has come out. This 35-years-old puzzle is thus still unsolved. We discuss how modern tools like the AdS/CFT correspondence give a new insight on the problem by applying it to two-body elastic and inelastic scattering amplitudes. We obtain a geometrical interpretation of Reggeization and its relation with confinement in gauge theory.