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

  • 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 ...
  • Decomposition spaces in combinatorics 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2016-12)
    Report de recerca
    Accés obert
    A decomposition space (also called unital 2-Segal space) is a simplicial object satisfying an exactness condition weaker than the Segal condition: just as the Segal condition expresses (up to homotopy) composition, the new ...
  • Three Hopf algebras and their common simplicial and categorical background 

    Gálvez Carrillo, Maria Immaculada; Kaufmann, Ralph L.; Tonks, Andrew (2016-07)
    Report de recerca
    Accés obert
    We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebras of Goncharov for multiple zeta values, that of Connes--Kreimer ...
  • The Berkovits complex and semi-free extensions of koszul algebras 

    Gálvez Carrillo, Maria Immaculada; Gorbounov, V.; Shaikh, Zain; Tonks, Andrew (2016)
    Article
    Accés restringit per política de l'editorial
    In his extension of W. Siegel’s ideas on string quantization, N. Berkovits made several observations which deserve further study and development. Indeed, interesting accounts of this work have already appeared in the ...

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