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math.NT2022
Can we dream of a 1-adic Langlands correspondence?
Xavier Caruso, Agnès David, Ariane Mézard
After observing that some constructions and results in the -adic Langlands programme are somehow independent from , we formulate the hypothesis that this astonishing uniformi…
cs.SC2022
On Polynomial Ideals And Overconvergence In Tate Algebras
Xavier Caruso, Tristan Vaccon, Thibaut Verron
In this paper, we study ideals spanned by polynomials or overconvergent series in a Tate algebra. With state-of-the-art algorithms for computing Tate Gr{ö}bner bases, even if the i…