We discuss a model which gives a `global' description of the wide variety of
high-energy elastic and diffractive data that are presently available,
particularly from the LHC experiments. The model is based on only one pomeron
pole, but includes multi-pomeron interactions. Significantly, the LHC
measurements require that the model includes the transverse momentum dependence
of the intermediate partons as a function of their rapidity, which results in a
rapidity (or energy) dependence of the multi-pomeron vertices.Comment: 9 pages, 2 figures, To be published in the Proceedings of the
International Workshop on Particle Physics Phenomenology in memory of Alexei
Kaidalov, Moscow, 21-25 July, 201