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Martin Luu : Symmetries of local Langlands parameters

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In the late 80’s Henniart used the then recently introduced Laumon l-adic local Fourier transform to prove the numerical local Langlands correspondence for GL(n). More recently, Bloch-Esnault and independently Lopez have developed a complex version of this transform. I will explain the fascinating picture that emerges when Henniart’s strategy of proof is translated to this setting of local geometric Langlands parameters.

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