Seminars

Sentinel: una oportunidad para el desarrollo de aplicaciones en el rubro de la agricultura. AgriSpark: un servicio en transformación para adaptarse a un cambio de paradigma.

Event Date: Aug 06, 2018 in Ciclo de Seminarios quincenales de la Alianza Copernicus-Chile, Seminars

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Semiclassical Trace Formula and Spectral Shift Function for Schrödinger Operators with Matrix-Valued Potentials.

Event Date: Aug 06, 2018 in CAPDE, Seminars

Abstract: In this talk, I will present some recent results on the spectral properties of semiclassical systems of pseudodifferential operators. We developed a stationary approach for the study of the Spectral Shift Function for a pair of self-adjoint Schrödinger operators with matrix-valued potentials. A Weyl-type semiclassical asymptotics with sharp remainder estimate for the SSF is obtained, and under the existence condition of a scalar escape function, a full asymptotic expansion for its derivatives is proved. This last result is a generalization of the result of Robert-Tamura (1984)...

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Sitting closer to friends than enemies, revisited

Event Date: Aug 01, 2018 in AGCO, Seminars

Abstract: The Sitting Closer to Friends than Enemies problem is to find an embedding in a metric space for the vertices of a given signed graph so that, for every pair of incident edges with different sign, the positive edge has to be shorter (in the metric of the space) than the negative edge. In this talk, I will give a gentle introduction and will present a collection of results regarding this problem. In particular, I will show a characterization for the sets of signed graphs for which there exist such an embedding in \mathbb{R}, in the circle, and in trees. Moreover, I will show an...

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Seminar: Solar energy in the subway: a proposal for energy efficiency

Event Date: Aug 01, 2018 in Events, Seminars

This activity will be held at CMM on August 1st, 2018 (in spanish)

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Operator algebras, compact operators, and the essential spectrum of the N-body problems

Event Date: Jul 23, 2018 in CAPDE, Seminars

Abstract:  I will begin by reviewing a general method to determine the essential spectrum of Schrodinger-type operators. The method is based first on the fact that an operator is Fredholm if, and only if, it is inversible modulo the compacts (Atkinson’s theorem). This reduces the study of certain quotients by the compact operators. To study the invertibility in these quotients, one uses, following Georgescu, Mantoiu, and others, a determination of the spectrum of a suitable operator algebra and of the action of the translation group on its spectrum.   I will give an example of how...

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Sensitive dependence of geometric Gibbs measures at positive temperature

Event Date: Jul 23, 2018 in Dynamical Systems, Seminars

ABSTRACT:   In this talk we give the main ideas of the construction of  the first example of a smooth family of real and complex maps having sensitive dependence of geometric Gibbs states at positive temperature. This family consists of quadratic-like maps that are non-uniformly hyperbolic in a strong sense. We show that for a dense set of maps in the family the geometric Gibbs states diverge at positive temperature. These are the first examples of divergence at positive temperature in statistical mechanics or the thermodynamic formalism, and answers a question of van Enter and Ruszel....

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