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. 

clockCreated with Sketch.Date / heure

vendredi 4 octobre 2019
10 h à 11 h

pinCreated with Sketch.Lieu

UQAM - Pavillon Président-Kennedy (PK)
PK-5115
201, avenue du Président-Kennedy
Montréal (QC)

personCreated with Sketch.Renseignements

Mots-clés

Groupes