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

Duration: 1 hour 10 mins 59 secs

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Description:	Laurent Lafforgue (IHES) Monday 11 May 2009, 17:00-18:00

Created:

2009-05-15 13:47

Collection:

Rothschild Seminars

Publisher:

Isaac Newton Institute

Laurent Lafforgue

Language:

eng (English)

Credits:

Author:	Lafforgue, L
Producer:	Steve Greenham


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. Original web seminar at: http://www.newton.ac.uk/programmes/ALT/seminars/051117001.html In association with the Newton Algebraic Lie Theory programme: http://www.newton.ac.uk/programmes/ALT/

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.

Original web seminar at: http://www.newton.ac.uk/programmes/ALT/seminars/051117001.html
In association with the Newton Algebraic Lie Theory programme: http://www.newton.ac.uk/programmes/ALT/

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