Noticias en español
Seminars appear in decreasing order in relation to date. To find an activity of your interest just go down on the list. Normally seminars are given in English. If not, they will be marked as Spanish Only.
Vortices induced by topological forcing in nematic liquid crystal layes
Abstract: Liquid crystals with negative anisotropic dielectric constant and homeotropic anchoring are a natural physical context where dissipative vortices are observed. Dissipative vortices are known in this context as \emph{umbilical defects}.Major problems arise when practical implementations are aimed at, because soft-matter defects are dissipative structures that obey a complex Ginzburg-Landau equation (CGLE) and undergo a coarsenig dynamics ruled by their mutual interaction and annhilation. Therefore, they are unstable, usually limited...
Decay in the one dimensional generalized improved Boussinesq equation.
Abstract: The purpose of this talk is to explain the decay problem for the generalized improved (or regularized) Boussinesq model with power type nonlinearity, a modification of the originally ill-posed shallow water waves model derived by Boussinesq. The associated decay problem has been studied by Liu, and more recently by Cho-Ozawa, showing scattering in weighted spaces provided the power of the nonlinearity $p$ is sufficiently large. In this talk we remove that condition on the power $p$ and prove decay to zero in terms of the energy...
Renormalización: criterio de Masur
ABSTRACT En este kawin presentaré un resultado emblemático de renormalización en sistemas dinámicos conocido como criterio de Masur. Informalmente, la renormalización es una herramienta para el estudio de sistemas dinámicos cuya “forma esencial” se repite en diferentes (infinitas) escalas. Básicamente consiste en deformar, ampliar o acelerar localmente un sistema para obtener información global sobre este. En esta ocasión nos enfocaremos en flujos de translación: flujos lineales en superficies de translación. Una superficie de...
The Bebutov–Kakutani dynamical embedding theorem and mean dimension
ABSTRACT I will start with the classical Bebutov–Kakutani theorem, which states that a real flow can be (dynamically/equivariantly) embedded in the space C(R,[0,1]) if and only of its fixed point set can be (topologically) embedded in [0,1], and further, touch possible directions in three aspects. The first direction is to improve this theorem, with a point of view towards its drawback, making it more reasonable and clearer. The second direction is about universal real flows. The third direction, provided the time is sufficient, will...
“Mathematical Modelling in school, teacher education and engineering education” (Modelamiento matemático en la escuela y en la formación de profesores y de ingenieros).
Resumen: In this workshop the basic theoretical aspects on the teaching and learning of mathematical modelling in school and teacher as well as engineering education are stressed. Thereby, different levels of mathematics are discussed with respect to the necessity of modifying the modelling process. The participants will also work on a modelling problem, which can be used in schools as well as teacher education. Furthermore, the important aspect of modelling competency and how this can be promoted is presented as well. En este taller se...
Convex hierarchies, scheduling and symmetries
Abstract: The Sum of Squares (SoS) hierarchy provides a finite nested family K_1, K_2, … , K_n of convex relaxations for an integer program with n variables, that reaches the integer hull, i.e., K_n corresponds to the convex hull of the integer feasible solution. A natural question is to understand how the integrality gap evolves over the family. In particular, a rapid decay of the gap might yield good approximation algorithms. We show that for the classic problem of scheduling identical machines to minimize the makespan, the SoS hierarchy...
Dispersive blow-up and persistence properties for the Schrödinger-Korteweg-de Vries system.
Abstract: In this talk, we shall prove the existence of dispersive blow-up for the Schrödinger-Korteweg-de Vries system. Roughly, dispersive blow-up has being called to the development of point singularities due to the focussing of short or long waves. In mathematical terms, we show that the existence of this kind of singularities is provided by the linear dispersive solution by proving that the Duhamel term is smoother. This result is the first one regarding systems of nonlinear dispersive equations. To obtain our results we use, in...
