| Résume | The talk presents parts of a generalizationof Tate's thesis to arithmetic schemes.A generalization of the Haar measure and Fourier transform tohigher local fields(which are not locally compact groups) will be explained.A new measure on higher dimensional local fieldstakes values in hyperreal numbers.Local hyper zeta function is introduced as a certain integralagainst a measure on topological K-groups of the fields,it satisfies a functional equation.Global hyper zeta function is then defined as a certain product oflocal zeta functions. |
