2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110321This article is the first one of a series aiming to construct an isomorphism between the p-adic Lubin-Tate and Drinfeld towers, describe this isomorphism and give applications. We construct a p-adic equivariant integral model of the Lubin-Tate tower with infinite level. This formal scheme will be later compared to another one associated to the Drinfeld tower.46 pagesNumber TheoryAlgebraic Geometry14GxxL'isomorphisme entre les tours de Lubin-Tate et de Drinfeld : Decomposition cellulaire de la tour de Lubin-Tatetext