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

Presented by: 
L Lafforgue
Date: 
Monday 11th May 2009 - 17:00 to 18:00
Venue: 
INI Seminar Room 1
Abstract: 
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons