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Langlands' functoriality principle and non linear Poisson formulas
【2013.11.1/15/22/29 10:00am,C610】

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 2013-10-29 

  Colloquia & Seminars 

  Speaker

 Prof.Laurent Lafforgue,Institut des Hautes études Scientifiques

  Title

     Langlands' functoriality principle and non linear Poisson formulas            

  Time

  2013.11.1/15/22/29 10:00am                       

  Venue

  C610

  Abstract

 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.

  Affiliation

 Fields奖获得者、法国科学院院士

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