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

Envíos recientes

  • The geometry of E-manifolds 

    Miranda Galcerán, Eva (2018-02-09)
    Report de recerca
    Acceso abierto
    Motivated by the study of symplectic Lie algebroids, we study a describe a type of algebroid (called an E-tangent bundle) which is particularly well-suited to study of singular differential forms and their cohomology. ...
  • Effective computation of base points of ideals in two-dimensional local rings 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Blanco Fernández, Guillem (2018-01-04)
    Artículo
    Acceso restringido por política de la editorial
    © 2018 Elsevier Ltd. We provide an algorithm that allows to describe the minimal log-resolution of an ideal in a smooth complex surface from the minimal log-resolution of its generators. In order to make this algorithm ...
  • Homotopy linear algebra 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2017-10-17)
    Artículo
    Acceso restringido por política de la editorial
    By homotopy linear algebra we mean the study of linear functors between slices of the 8-category of 8-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices ...
  • The inertia of the symmetric approximation for low-rank matrices 

    Casanellas Rius, Marta; Fernández Sánchez, Jesús; Garrote López, Marina (Taylor & Francis, 2017-11-10)
    Artículo
    Acceso restringido por política de la 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)
    Artículo
    Acceso restringido por política de la 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)
    Artículo
    Acceso restringido por política de la 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)
    Artículo
    Acceso restringido por política de la 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)
    Artículo
    Acceso restringido por política de la 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
    Acceso abierto
    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)
    Artículo
    Acceso abierto
    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
    Acceso abierto
    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)
    Artículo
    Acceso restringido por política de la 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 ...

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