Arnaud Vanhaecke

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20242026

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math.NT2026

On Drinfeld's representability theorem

Arnaud Vanhaecke

In the seventies, V. G. Drinfeld proved that a moduli problem of deformations by quasi-isogenies of certain $p$ -divisible groups with extra actions is representable by an explicit…

math.NT2025

Factorisation de la cohomologie de systÃ¨mes locaux $p$ -adiques sur le demi-plan de Drinfeld

Arnaud Vanhaecke

We compute the first cohomology group of the symmetric algebra of the universal Ã©tale $p$ -adic local system on the tower of coverings of Drinfeld's $p$ -adic half-plane. The result…

math.NT2024

Cohomologie de systÃ¨mes locaux $p$ -adiques sur les revÃªtements du demi-plan de Drinfeld

Arnaud Vanhaecke

Colmez, Dospinescu and Niziol have shown that the only $p$ -adic representations of $Gal (Q ˉ_{p} / Q_{p})$ appearing in the $p$ -adic Ã©tale cohomology of the co…

On Drinfeld's representability theorem

Factorisation de la cohomologie de systÃ¨mes locaux p-adiques sur le demi-plan de Drinfeld

Cohomologie de systÃ¨mes locaux p-adiques sur les revÃªtements du demi-plan de Drinfeld

Factorisation de la cohomologie de systÃ¨mes locaux $p$ -adiques sur le demi-plan de Drinfeld

Cohomologie de systÃ¨mes locaux $p$ -adiques sur les revÃªtements du demi-plan de Drinfeld