Recent Submissions

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    Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation  [Article]

    Alonso García, María Emilia; Castro Jiménez, Francisco Jesús; Hauser, Herwig; Koutschan, Christoph (London Mathematical Society, 2018)
    Gabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis computations for echelons, a generalization ...
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    The root extraction problem for generic braids  [Article]

    Cumplido Cabello, María; González-Meneses López, Juan; Silvero Casanova, Marithania (MDPI, 2019-10)
    We show that, generically, finding the k-th root of a braid is very fast. More precisely, we provide an algorithm which, given a braid x on n strands and canonical length l, and an integer k > 1, computes a k-th root of ...
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    A rigid local system with monodromy group 2.J2  [Article]

    Katz, Nicholas M.; Rojas León, Antonio (Elsevier, 2019-05)
    We exhibit a rigid local system of rank six on the affine line in characteristic p = 5 whose arithmetic and geometric monodromy groups are the finite group 2.J2 (J2 the Hall-Janko sporadic group) in one of its two ...
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    Torsion homology and cellular approximation  [Article]

    Flores Díaz, Ramón Jesús; Muro Jiménez, Fernando (Mathematical Sciences Publishers, 2019-02-06)
    We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. More concretely, we show how the knowledge of H2G allows us to approximate many groups by colimits of copies of p-groups. ...
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    Homotopy theory of bicomplexes  [Article]

    Muro Jiménez, Fernando; Roitzheim, Constanze (Elsevier, 2019-05)
    We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model structure has weak equivalences detected by the totalisation functor. The second model structure’s weak ...
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    Polynomial braid combing  [Article]

    Flores Díaz, Ramón Jesús; González-Meneses López, Juan (Oxford University Press, 2018)
    We prove that, for n ≥ 3, the minimal dimension of a model of the classifying space of the braid group Bn, and of the pure braid group Pn, with respect to the family of virtually cyclic groups is n.
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    On the centralizer of generic braids  [Article]

    González-Meneses López, Juan; Valladares García, Dolores (De Gruyter, 2018-11)
    We study the centralizer of a braid from the point of view of Garside theory, showing that generically a minimal set of generators can be computed very efficiently, as the ultra summit set of a generic braid has a very ...
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    A geometric description of the extreme Khovanov cohomology  [Article]

    González-Meneses López, Juan; González Manchón, Pedro María; Silvero Casanova, Marithania (Cambridge University Press, 2018-06)
    We prove that the hypothetical extreme Khovanov cohomology of a link is the cohomology of the independence simplicial complex of its Lando graph. We also provide a family of knots having as many non-trivial extreme Khovanov ...
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    Finite monodromy of some families of exponential sums  [Article]

    Rojas León, Antonio (Elsevier, 2019-04)
    Given a prime p and an integer d > 1, we give a numerical criterion to decide whether the ℓ-adic sheaf associated to the one-parameter exponential sums t 7→P x ψ(xd + tx) over Fp has finite monodromy or not, and work ...
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    Explicit local multiplicative convolution of ℓ-adic sheaves  [Article]

    Rojas León, Antonio (European Mathematical Society, 2018)
    We give explicit formulas for the local multiplicative convolution functors, which express the local monodromies of the convolution of two ℓ-adic sheaves on the torus Gm over the algebraic closure of a finite field in terms ...
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    Álgebra computacional y programación entera no lineal  [Article]

    Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel (Real Sociedad Matemática Española, 2016)
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    Linear nested Artin approximation theorem for algebraic power series  [Article]

    Castro Jiménez, Francisco Jesús; Popescu, Dorin; Rond, Guillaume (Springer, 2018)
    We give an elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subring of the ring of formal power series, we clarify ...
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    Primer Encuentro Conjunto RSME-UMA, Buenos Aires, 11 a 15 de diciembre de 2017  [Article]

    Narváez Macarro, Luis; Villamayor Uriburu, Orlando (Real Sociedad Matemática Española, 2018)
    En la semana del lunes 11 al viernes 15 de diciembre de 2017 se llevó a cabo en Buenos Aires el Primer Encuentro Conjunto entre la Unión Matemática Argentina (UMA) y la RSME. Se celebraba el centenario de la primera ...
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    7o Congreso Europeo de Matemáticas  [Article]

    Rojas León, Antonio (Real Sociedad Matemática Española, 2016)
    La séptima edición del Congreso Europeo de Matemáticas, evento que tiene lugar cada cuatro años bajo los auspicios de la Sociedad Matemática Europea, se celebró entre los pasados días 18 y 22 de julio en la sede de la ...
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    Correspondance de Howe explicite: paires duales de type II  [Article]

    Mínguez Espallargas, Alberto (Société Mathématique de France, 2008)
    Dans cet article, nous proposons une nouvelle méthode pour démontrer la bijectivité de la correspondance de Howe pour les paires duales du type (GLn, GLm) sur un corps F localement compact non archimédien. La preuve est ...
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    Unramified ℓ-modular representations of GLn(F) and its inner forms  [Article]

    Mínguez Espallargas, Alberto; Sécherre, Vincent (Oxford University Press, 2014)
    Let F be a non-Archimedean locally compact field of residue characteristic p and R be an algebraically closed field of characteristic l different from p. Let G be the group GLn, n ¥ 1, over F or one of its inner forms. In ...
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    Correspondance de Jacquet-Langlands locale et congruences modulo l  [Article]

    Mínguez Espallargas, Alberto; Sécherre, Vincent (Springer, 2017-05)
    Let F be a non-Archimedean local field of residual characteristic p, and be a prime number different from p. We consider the local Jacquet-Langlands correspondence between -adic discrete series of GLn(F) and an inner form ...
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    En recuerdo de Alexander Grothendieck: prólogo para una lectura de su vida y obra  [Article]

    Narváez Macarro, Luis (Real Sociedad Matemática Española, 2017)
    En este artículo repasamos algunas de las claves de las contribuciones matemáticas de Alexander Grothendieck y del contexto en el que se gestaron, y nos asomamos así a la vida y obra de una de las figuras más influyentes ...
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    Encoding algebraic power series  [Article]

    Alonso García, María Emilia; Castro Jiménez, Francisco Jesús; Hauser, Herwig (Springer, 2017)
    The division algorithm for ideals of algebraic power series satisfying Hironaka’s box condition is shown to be finite when expressed suitably in terms of the defining polynomial codes of the series. In particular, the codes ...
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    Acylindrical hyperbolicity and Artin-Tits groups of spherical type  [Article]

    Calvez, Matthieu; Wiest, Bert (Springer, 2017)
    We prove that, for any irreducible Artin-Tits group of spherical type G, the quotient of G by its center is acylindrically hyperbolic. This is achieved by studying the additional length graph associated to the classical ...

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