GEOMVAP - Geometria de Varietats i Aplicacions
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.
El objetivo general del grupo es profundizar en el estudio de estructuras geométricas y sus aplicaciones. Las estructuras geométricas consideradas son variedades algebraicas, simplécticas o diferenciables y sus aplicaciones se centran principalmente en los campos de la biología, la robótica, la física, los sistemas dinámicos y la mecánica celeste. Para ello utilizamos varias herramientas (geométricas, algebraicas, topológicas, aritméticas, diferenciales y computacionales) y en muchas ocasiones fusionamos técnicas procedentes de diversos ámbitos. Algunos miembros del grupo trabajan dentro de equipos pluridisciplinares y en líneas de investigación transversales.
El objetivo general del grupo es profundizar en el estudio de estructuras geométricas y sus aplicaciones. Las estructuras geométricas consideradas son variedades algebraicas, simplécticas o diferenciables y sus aplicaciones se centran principalmente en los campos de la biología, la robótica, la física, los sistemas dinámicos y la mecánica celeste. Para ello utilizamos varias herramientas (geométricas, algebraicas, topológicas, aritméticas, diferenciales y computacionales) y en muchas ocasiones fusionamos técnicas procedentes de diversos ámbitos. Algunos miembros del grupo trabajan dentro de equipos pluridisciplinares y en líneas de investigación transversales.
El objetivo general del grupo es profundizar en el estudio de estructuras geométricas y sus aplicaciones. Las estructuras geométricas consideradas son variedades algebraicas, simplécticas o diferenciables y sus aplicaciones se centran principalmente en los campos de la biología, la robótica, la física, los sistemas dinámicos y la mecánica celeste. Para ello utilizamos varias herramientas (geométricas, algebraicas, topológicas, aritméticas, diferenciales y computacionales) y en muchas ocasiones fusionamos técnicas procedentes de diversos ámbitos. Algunos miembros del grupo trabajan dentro de equipos pluridisciplinares y en líneas de investigación transversales.
Collections in this community
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Articles de revista [101]
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Reports de recerca [26]
Recent Submissions
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Universality of Euler flows and flexibility of Reeb embeddings
(2019-11-05)
External research report
Open AccessThe dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao launched a programme to address the global existence problem for the Euler and Navier ... -
Some properties of multisymplectic manifolds
(Springer, 2019-10-01)
Part of book or chapter of book
Restricted access - publisher's policyThis lecture is devoted to review some of the main properties of multisymplectic geometry. In particular, after reminding the standard definition of multisymplectic manifold, we introduce its characteristic submanifolds, ... -
New multisymplectic approach to the Metric-Affine (Einstein-Palatini) action for gravity
(American Institute of Mathematical Sciences, 2019-09-01)
Article
Open AccessWe present a covariant multisymplectic formulation for the Einstein-Palatini (or Metric-Affine) model of General Relativity (without energy-matter sources). As it is described by a first-order affine Lagrangian (in the ... -
Monomial generators of complete planar ideals
(2020-01-01)
Article
Restricted access - publisher's policyWe provide an algorithm that computes a set of generators for any complete ideal in a smooth complex surface. More interestingly, these generators admit a presentation as monomials in a set of maximal contact elements ... -
Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation
(2020-01-01)
Article
Open AccessWe consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer ... -
Local cohomology of binomial edge ideals and their generic initial ideals
(2019-01-01)
Article
Restricted access - publisher's policyWe provide a Hochster type formula for the local cohomology modules of binomial edge ideals. As a consequence we obtain a simple criterion for the Cohen–Macaulayness and Buchsbaumness of these ideals and we describe their ... -
Three Hopf algebras from number theory, physics & topology, and their common background I: operadic & simplicial aspects
(2020-01-01)
Article
Open AccessWe consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer ... -
Tangential varieties of Segre–Veronese surfaces are never defective
(Springer, 2020-02-01)
Article
Restricted access - publisher's policyWe compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veronese surfaces. We exploit the typical approach of computing the Hilbert function of special 0-dimensional schemes on ... -
Higher-dimensional Clifford-Severi equalities
(2019-11-28)
Article
Restricted access - publisher's policyAbstract.LetXbe a smooth complex projective variety,a:X¿Aa mor-phism to an abelian variety such that Pic0(A) injects into Pic0(X) and letLbe a line bundle onX; denote byh0a(X,L) the minimum ofh0(X,L¿a*a) fora¿Pic0(A). The ... -
Euler flows and singular geometric structures
(Royal Society, 2019)
Article
Open AccessTichler proved in [24] that a manifold admitting a smooth non vanishing and closed one-form bers over a circle. More generally a manifold admitting k independent closed one-forms bers over a torus Tk. In this article we ... -
Constraint algorithm for singular field theories in the k-cosymplectic framework
(American Institute of Mathematical Sciences, 2020-03-15)
Article
Restricted access - publisher's policyThe aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of k-cosymplectic geometry. Since these field theories are singular, we need to introduce the notion of ... -
Pruned cellular free resolutions of monomial ideals
(2020-01-01)
Article
Restricted access - publisher's policyUsing discrete Morse theory, we give an algorithm that prunes the excess of information in the Taylor resolution and constructs a new cellular free resolution for an arbitrary monomial ideal. The pruned resolution is not ...
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