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Langlands' automorphic transfer as a problem of generalizing the addition operation


Hold Date 2017-04-27 16:30~2017-04-27 17:30

Place IMI Auditorium (W1-D-413), West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Laurent Lafforgue (IHES)

Date: Thursday, April 27, 2017
        16:00 - 16:30 (teatime in the Information Study Room(W1-A-812), 8F, West Zone 1)
        16:30 - 17:30 (IMI Auditorium W1-D-413)

Speaker: Laurent Lafforgue (IHES)

Title: Langlands' automorphic transfer as a problem of generalizing the addition operation

Abstract:
Langlands' automorphic transfer from reductive groups to linear groups is equivalent to the existence of local and global Fourier transform operators induced by representations of the dual groups, of local and global functional spaces that should be stabilized by these operators and of a Poisson linear form on the global functional spaces that should be fixed by Fourier transform.

Looking for a definition of non-additive Fourier transform operators leads to the crucial question of determining the Fourier transform of the operator of point-wise multiplication of functions. It has to be a generalisation of ordinary additive convolution operators.