Event Date: Oct 02, 2019 in Dynamical Systems, Seminars

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“Mathematical Modelling in school, teacher education and engineering education” (Modelamiento matemático en la escuela y en la formación de profesores y de ingenieros).

Event Date: Sep 10, 2019 in Education, Seminars

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 enfatizan los aspectos teóricos fundamentales sobre la...

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Convex hierarchies, scheduling and symmetries

Event Date: Sep 04, 2019 in AGCO, Seminars

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 exhibits an integrality gap curve that remains at...

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The Ising model from the eyes of the Gaussian free field.

Event Date: Sep 03, 2019 in Núcleo Modelos Estocásticos de Sistemas Complejos y Desordenados, Seminars, Stochastic Modeling

Abstract: The Ising model may be one of the most studied objects of statistical Physics. In recent years, it was shown that a proper renormalisation of a planar Ising model converges to a universal field: the continuous magnetisation field. This field is not a function but a Schwartz distribution, furthermore its statistics are not Gaussian. In this talk, we will study the properties of the Wick product of two independent magnetisation fields and show that they have the same law as a certain trigonometric function of the GFF. We will show how this correspondence allows us to find new...

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Detección semi automatizada de Centros de Engorda de Salmónidos.

Event Date: Sep 09, 2019 in Ciclo de Seminarios quincenales de la Alianza Copernicus-Chile, Seminars

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Dispersive blow-up and persistence properties for the Schrödinger-Korteweg-de Vries system.

Event Date: Sep 03, 2019 in Differential Equations, Seminars

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 addition to smoothing properties, persistence properties...

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