L'objectiu general del grup és aprofundir en l'estudi d'estructures geomètriques i les seves aplicacions. Les estructures geomètriques considerades són varietats algebraiques, simplèctiques o diferenciables i les seves aplicacions es centren principalment als camps de la biologia, la robòtica, la física, els sistemes dinàmics i la mecànica celeste. Per fer-ho utilitzarem diverses eines (geomètriques, algebraiques, topològiques, aritmètiques, diferencials i computacionals) i en moltes ocasions fusionarem tècniques provinent de diversos àmbits. Membres del grup treballen dintre d'equips pluridisciplinars i en línies de recerca transversals.

http://futur.upc.edu/GEOMVAP

Envíos recientes

  • Zeroth poisson homology, foliated cohomology and perfect poisson manifolds 

    Miranda Galcerán, Eva; Martinez Torres, David (Springer, 2018)
    Artículo
    Acceso abierto
    We prove that for regular Poisson manifolds, the zeroth homology group is isomorphic to the top foliated cohomology group and we give some applications. In particular, we show that for regular unimodular Poisson manifolds ...
  • Contact structures with singularities 

    Miranda Galcerán, Eva; Oms, Cédric (2018-06-15)
    Report de recerca
    Acceso abierto
    We study singular contact structures, which are tangent to a given smooth hypersurface Z and satisfy certain transversality conditions. These singular contact structures are determined by the kernel of non-smooth differential ...
  • Maryam Mirzakhani, una llum que mai no s’apagarà 

    Miranda Galcerán, Eva; Muñoz Lecanda, Miguel Carlos (Societat Catalana de Matemàtiques (SCM), 2017-12-31)
    Artículo
    Acceso abierto
  • On geometric quantization of b-symplectic manifolds 

    Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (2018-05-20)
    Artículo
    Acceso abierto
    We study a notion of pre-quantization for b-symplectic manifolds. We use it to construct a formal geometric quantization of b-symplectic manifolds equipped with Hamiltonian torus actions with nonzero modular weight. We ...
  • Integrable systems and closed one forms 

    Miranda Galcerán, Eva; Cardona, Robert (2018-05-15)
    Artículo
    Acceso abierto
    In the first part of this paper we revisit a classical topological theorem by Tischler (1970) and deduce a topological result about compact manifolds admitting a set of independent closed forms proving that the manifold ...
  • An invitation to singular symplectic geometry 

    Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Dempsey Bradell, Roisin Mary; Oms, Cedric; Planas Bahí, Arnau (2017)
    Artículo
    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 ...
  • Classification of b^m-Nambu structures of top degree 

    Miranda Galcerán, Eva; Planas Bahí, Arnau (2018-01)
    Artículo
    Acceso abierto
    We obtain sufficient conditions for the existence and uniqueness of a positive compact almost automorphic solution to a logistic equation with discrete and continuous delay. Moreover, we provide a counterexample to some ...
  • Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities 

    Alberich Carramiñana, Maria; Alvarez Montaner, Josep; Dachs Cadefau, Ferran (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2018)
    Artículo
    Acceso abierto
    The aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a two-dimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given ...
  • Open problems, questions, and challenges in finite-dimensional integrable systems 

    Miranda Galcerán, Eva; Bolsinov, Alexey; Matveev, Vladimir; Tabachnikov, Sergei (2018-04-11)
    Report de recerca
    Acceso abierto
    The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference ...
  • New algebraic conditions for the identification of the relative position of two coplanar ellipses 

    Alberich Carramiñana, Maria; Elizalde, Borja; Thomas, Federico (2017-05-01)
    Artículo
    Acceso restringido por política de la editorial
    The identification of the relative position of two real coplanar ellipses can be reduced to the identification of the nature of the singular conics in the pencil they define and, in general, their location with respect to ...
  • 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 ...

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