L'objectiu general del grup és estudiar propietats d'estructures matemàtiques de tipus geomètric, com ara varietats algebraiques, simplèctiques, diferencials, etc., i es pretén fer des de diferents punts de vista (global, local, dinàmic, de cara a les aplicacions) i usant diferents tècniques (geomètriques, algebraiques, topològiques, aritmètiques, diferencials i computacionals). Membres del grup treballen dintre d'equips pluridisciplinars i en línies de recerca transversals, com són les aplicacions a la biologia, la robòtica i la física.

http://futur.upc.edu/GEOMVAP

Enviaments recents

  • The inertia of the symmetric approximation for low-rank matrices 

    Casanellas Rius, Marta; Fernández Sánchez, Jesús; Garrote López, Marina (Taylor & Francis, 2017-11-10)
    Article
    Accés restringit per política de l'editorial
    © 2017 Informa UK Limited, trading as Taylor & Francis Group In many areas of applied linear algebra, it is necessary to work with matrix approximations. A usual situation occurs when a matrix obtained from experimental ...
  • D-modules, Bernstein-Sato polynomials and F-invariants of direct summands 

    Álvarez Montaner, Josep; Huneke, Craig; Núñez-Betancourt, Luis (2017-12-01)
    Article
    Accés restringit per política de l'editorial
    We study the structure of D -modules over a ring R which is a direct sum- mand of a polynomial or a power series ring S with coefficients over a field. We relate properties of D -modules over R to D -modules over S . We ...
  • The matter-ekpyrotic bounce scenario in Loop Quantum Cosmology 

    Haro Cases, Jaume; Amorós Torrent, Jaume; Aresté Saló, Llibert (2017-09-01)
    Article
    Accés restringit per política de l'editorial
    We will perform a detailed study of the matter-ekpyrotic bouncing scenario in Loop Quantum Cosmology using the methods of the dynamical systems theory. We will show that when the background is driven by a single scalar ...
  • Godement resolution and operad sheaf homotopy theory 

    Rodríguez González, Beatriz; Roig Martí, Agustín (2017-08-08)
    Article
    Accés restringit per política de l'editorial
    We show how to induce products in sheaf cohomology for a wide variety of coefficients: sheaves of dg commutative and Lie algebras, symmetric Omega-spectra, filtered dg algebras, operads and operad algebras.
  • Local equations for equivariant evolutionary models 

    Casanellas Rius, Marta; Fernández Sánchez, Jesús; Michalek, Mateusz (2017-07-31)
    Article
    Accés restringit per política de l'editorial
    Phylogenetic varieties related to equivariant substitution models have been studied largely in the last years. One of the main objectives has been finding a set of generators of the ideal of these varieties, but this has ...
  • Geometric quantization of semitoric systems and almost toric manifolds 

    Miranda Galcerán, Eva; Presas, Francisco; Solha, Romero (2017)
    Report de recerca
    Accés obert
    Kostant gave a model for the real geometric quantization associated to polarizations via the cohomology associated to the sheaf of flat sections of a pre-quantum line bundle. This model is well-adapted for real polarizations ...
  • Non-commutative integrable systems on bsymplectic manifolds 

    Miranda Galcerán, Eva; Kiesenhoferb, Anna (2016)
    Article
    Accés obert
    In this paper we study noncommutative integrable systems on b-Poisson manifolds. One important source of examples (and motivation) of such systems comes from considering noncommutative systems on manifolds with boundary ...
  • An invitation to singular symplectic geometry 

    Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Planas Bahí, Arnau; Oms, Cedric; Dempsey Bradell, Roisin Mary (2017)
    Report de recerca
    Accés obert
    In this paper we analyze in detail a collection of motivating examples to consider bm- symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...
  • Poincare series of multiplier ideals in two-dimensional local rings with rational singularities 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran; González Alonso, Víctor (2017-01-02)
    Article
    Accés restringit per política de l'editorial
    We study the multiplicity of the jumping numbers of an mm-primary ideal a in a two-dimensional local ring with a rational singularity. The formula we provide for the multiplicities leads to a very simple and efficient ...
  • Action-angle variables and a KAM theorem for b-Poisson manifolds 

    Miranda Galcerán, Eva; Kiesenhofer, Anna; Scott, Geoffrey (2016-01-01)
    Article
    Accés obert
    In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [14] for general Poisson manifolds in this setting. As an application, we ...
  • Desingularizing b^m-symplectic structures 

    Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (2017)
    Article
    Accés obert
    A 2n-dimensional Poisson manifold (M; ) is said to be bm-symplectic if it is symplectic on the complement of a hypersurface Z and has a simple Darboux canonical form at points of Z which we will describe below. In this ...
  • On Noether's rationality problem for cyclic groups over Q 

    Plans Berenguer, Bernat (2017-06-01)
    Article
    Accés obert
    Let p be a prime number. Let C p , the cyclic group of order p , permute transitively a set of indeterminates f x 1 ;:::;x p g . We prove that the invariant eld Q ( x 1 ;:::;x p ) C p is rational over Q if and only if the ( p

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