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

  • 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 ...
  • Sullivan minimal models of operad algebras 

    Roig Martí, Agustín; Cirici, Joana (2016-12-12)
    Report de recerca
    Accés obert
    We prove the existence of Sullivan minimal models of operad algebras, for a quite wide family of operads in the category of complexes of vector spaces over a field of characteristic zero. Our construction is an adaptation ...
  • Rigidity of infinitesimal momentum maps 

    Miranda Galcerán, Eva; Esposito, Chiara (2016)
    Article
    Accés obert
    In this paper we prove rigidity theorems for Poisson Lie group actions on Poisson manifolds. In particular, we prove that close infinitesimal momentum maps associated to Poisson Lie group actions are equivalent using a ...
  • Multiplier ideals in two-dimensional local rings with rational singularities 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran (2016)
    Article
    Accés restringit per política de l'editorial
    The aim of this paper is to study jumping numbers and multiplier ideals of any ideal in a two-dimensional local ring with a rational singularity. In particular we reveal which information encoded in a multiplier ideal ...
  • Lyubeznik numbers of local rings and linear strands of graded ideals 

    Álvarez Montaner, Josep (Springer, 2016)
    Text en actes de congrés
    Accés restringit per política de l'editorial
    We report recent work on the study of Lyubeznik numbers and their relation to invariants coming from the study of linear strands of free resolutions.
  • Determining plane curve singularities from its polars 

    González Alonso, Víctor; Alberich Carramiñana, Maria (2016-01-10)
    Article
    Accés restringit per política de l'editorial
    This paper addresses a very classical topic that goes back at least to Plücker: how to understand a plane curve singularity using its polar curves. Here, we explicitly construct the singular points of a plane curve singularity ...
  • Noncommutative integrable systems on b-symplectic manifolds 

    Miranda Galcerán, Eva; Kiesenhoferb, Anna (Springer, 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 ...

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