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談話会 (数理談話会・IMI Colloquium)

Langlands' automorphic transfer as a problem of generalizing the addition operation [数理談話会]

開催期間
2017-04-27 16:30~2017-04-27 17:30
場所
九州大学 伊都キャンパス ウエスト1号館 4階 IMIオーディトリアム (W1-D-413)
受講対象
 
講師
Laurent Lafforgue (IHES)

日時:2017年4月27日 (木)
         16:00~16:30 (ティータイム)
         16:30~17:30 (講演)
 

場所:情報学習プラザ,ウエスト1号館A棟8階 W1-A-812 (ティータイム)
         IMIオーディトリアム W1-D-413 (講演)


講演者:Laurent Lafforgue (IHES)
講演題目:Langlands' automorphic transfer as a problem of generalizing the addition operation

アブストラクト:
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.