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The main purpose of the lectures will be to introduce some new type of explicit non linear Poisson formulas on adelic reductive groups. They are associated to linear representations of Langlands' L-groups. They are implied by Langlands' functoriality principle and, in the other direction, they allow to build "kernels" of automorphic transfer. So, the functoriality principle is equivalent to these non linear Poisson formulas.
Prerequisites consist in basic knowledge of global fields, local fields and adeles. Familiarity with reductive groups and automorphic representations would certainly be helpful but will not be assumed.
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