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math.NT2024
La méthode de Shintani et ses variantes
Pierre Colmez
We give several versions of Shintani's method for the decomposition into simplicial cones of the fundamental domain of a torus modulo a lattice, and we investigate some application…
math.NT2024
Exercices adéliques
Pierre Colmez
We study the cohomology of the group of rational points of a linear algebraic group on adelic functional spaces, and we explore the relation with Emerton's completed cohomology.