Séminaire Cirget: «A p-adic characterization of modular curves»
Conférencier: Kang Zuo, Mainz
Résumé/Abstract: Given an arithmetic scheme X over a number ring, we introduce the notion of arithmetic periodic Higgs bundle and propose an arithmetic Simpson correspondence between arithmetic periodic Higgs bubdles and motivic local systems over X. As a special case of this proposed correspondence we show, for example, an affine hyperbolic curve is a modular curve if and only the uniformization Higgs bundle is periodic and the Frobenius trace field on the corresponding F-isocrytal is rational. The proof relies on Deligne conjecture on p to l companions solved by Abe and Drinfeld's work on Langlands correspondence over function field. This is a joint project with R. Krishnamoorthy and J.B. Yang.
Date / heure
vendredi 4 octobre 2019
10 h à 11 h
Lieu
UQAM - Pavillon Président-Kennedy (PK)
PK-5115
201, avenue du Président-KennedyMontréal (QC)