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Recent Submissions
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Morse cell decomposition and parametrization of surfaces from point clouds
(Publicacions de la Universitat Jaume I, 2022)
Conference report
Open AccessAn algorithm for the reconstruction of a surface from a point sample is presented. It proceeds directly from the point-cloud to obtain a cellular decomposition of the surface derived from a Morse function. No intermediate ... -
Reconstruction of sampled surfaces with boundary via Morse theory
(European Association for Computer Graphics (Eurographics), 2023)
Conference report
Open AccessWe study the perception problem for garments (e.g. a pair of pants) using tools from computational topology: the identification of their geometry and position from point-cloud samples, as obtained e.g. with 3D scanners. ... -
Looking at Euler flows through a contact mirror: universality and undecidability
(European Mathematical Society (EMS), 2021)
Conference report
Open AccessThe dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. In recent papers by Cardona, Miranda, and Peralta- Salas, several unknown facets of the Euler flows ... -
The Herglotz principle and vakonomic dynamics
(Springer Nature, 2021-07-21)
Conference lecture
Open AccessIn this paper we study vakonomic dynamics on contact systems with nonlinear constraints. In order to obtain the dynamics, we consider a space of admisible paths, which are the ones tangent to a given submanifold. Then, we ... -
Cohomología local con soporte un ideal monomial (D-módulos y combinatoria)
(Edicions UPC, 2000)
Conference report
Restricted access - publisher's policyWe study, by using the theory of algebraic D-modules, the local cohomology modules supported on a monomial ideal I of the polynomial ring R = k[x1, . . . , xn], where k is a field of characteristic zero. We compute the ... -
Development and enhancement of inclusion services at higher education level
(International Association of Technology, Education and Development (IATED), 2019)
Conference report
Open AccessEveryone is unique in their own way and it is necessary to embrace this diversity and make positive use of it. At all levels of education, differences between students can provide a good learning opportunity since every ... -
Multiplicity and Poincaré series for mixed multiplier ideals
(2018)
Conference report
Restricted access - publisher's policy -
Decomposition Spaces and Incidence (Co)Algebras .
(Birkhäuser Verlag, 2015)
Conference report
Restricted access - publisher's policyDecomposition 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 ... -
Lyubeznik numbers of local rings and linear strands of graded ideals
(Springer, 2016)
Conference report
Restricted access - publisher's policyWe report recent work on the study of Lyubeznik numbers and their relation to invariants coming from the study of linear strands of free resolutions. -
Poisson geometry and normal forms: a guided tour through examples
(2015)
Conference report
Open AccessThere are no special prerequisites to follow this minicourse except for basic differential geometry. Poisson manifolds constitute a natural generalization of Symplectic manifolds. Many problems in mechanics turn out to ... -
Computing jumping numbers and multiplier ideals in two-dimensional regular local rings
(Universitat de Barcelona. Edicions i Publicacions, 2014)
Conference report
Restricted access - publisher's policyWe give a new algorithm that computes the jumping numbers with their multiplicities and multiplier ideals of any ideal in a regular two-dimensional local ring.
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