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RVP lecture: Langlands' functoriality viewed as a kind of function theoretic Poisson formula problem

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If you have a question about this talk, please contact Mustapha Amrani .

Algebraic Lie Theory

Langlands’ functoriality conjecture is one of the most important problems in automorphic representations theory.

In the case of transfer of unramified representations between linear groups, we give an equivalent formulation of this conjecture which looks like a Poisson formula : two linear functionnals defined on some huge space of functions on adelic groups have to be equal.

These two liear functionnals are defined by some local constructions (on groups over the local completions of the global field) followed by summation over some groups of rational points.

This talk is part of the Isaac Newton Institute Seminar Series series.

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