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

  • 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
  • Surfaces on the Severi line 

    Barja Yáñez, Miguel Ángel; Pardini, Rita; Stoppino, Lidia (2016-05-01)
    Article
    Accés restringit per política de l'editorial
    Let S be a minimal complex surface of general type and of maximal Albanese dimension; by the Severi inequality one has K-S(2) >= 4 chi(O-S). We prove that the equality K-S(2) = 4 chi(O-S) holds if and only if q(S) := ...
  • On the representations of 2-groups in Baez-Crans 2-vector spaces 

    Alarcón Heredia, Benjamín; Elgueta Montó, Josep (2016-10-06)
    Article
    Accés obert
    We study the theory of representations of a 2-group G in Baez-Crans 2-vector spaces over a field k of arbitrary characteristic, and the corresponding 2-vector spaces of intertwiners. We also characterize the irreducible ...
  • Decomposition Spaces and Incidence (Co)Algebras . 

    Gálvez Carrillo, Maria Immaculada (Birkhäuser Verlag, 2015)
    Text en actes de congrés
    Accés restringit per política de l'editorial
    Decomposition spaces are simplicial 88 -groupoids with an exactness property giving coherent associativity of its objective incidence (co)algebra. Our theory encompasses the Connes–Kreimer algebra, (derived) Hall algebras ...

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