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Future detectors of cosmic rays, such as EUSO and OWL, can test the StandardModel predictions for the neutrino interactions at energies well beyond thereach of any terrestrial experiment. The relative rates of horizontal andupgoing air showers, combined with the angular distribution of upgoing airshowers will allow one to measure the neutrino-nucleon cross section atcenter-of-mass energy 10^5 GeV or higher.Comment: Talk presented at Workshop on electromagnetic probes of fundamental  physics, October 16-21, 2001, Erice, Ital

Future determination of the neutrino-nucleon cross section at extreme energies