Seminars

Empoderar a grupos de trabajo en el aula: Una obligación que guía a los profesores de matemática en instituciones de acceso abierto en Chile

Event Date: Dec 06, 2017 in Education, Seminars

Resumen:   Este estudio aborda cómo las interacciones entre profesores y grupos de trabajo se relacionan con las prácticas en sala y la toma de decisiones en la enseñanza de la matemática en instituciones de acceso abierto, en educación superior. Definimos las interacciones entre profesores y grupos de estudiantes desde el momento en que el profesor visita un grupo que trabaja en una tarea matemática específica, que en nuestro caso corresponden a actividades de resolución de problemas. La metodología es mixta y basada en dos conjuntos de datos: videos de clases y videos de sesiones de...

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Projected solutions for quasi-equilibrium problems.

Event Date: Dec 06, 2017 in Optimization and Equilibrium, Seminars

Abstract:   In 2016, Aussel, Sultana and Vetrivel introduced the concept of projected solutions for generalized Nash equilibrium problems (GNEPs)in the finite dimensional case. To show the existence  of such solutions they studied projected solutions for quasi-variational inequality problems. In a similar spirit, we introduce the concept of projected solution for quasi-equilibrium problems (QEPs). As a consequence of our main result we obtain an existence result for projected solutions of GNEPs, in infinite dimensional spaces.  

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Existence results for equilibrium problem

Event Date: Nov 08, 2017 in Optimization and Equilibrium, Seminars

Abstract:   In this paper, we introduce certain regularizations for bifunctions, based on the corresponding regularization for functions, originally defined by J-P. Crouzeix. We show that the equilibrium problems associated to a bifunction and its regularizations are equivalent in the sense that they share the same solution set. Also, we introduce new existence results for the Equilibrium Problem, and we show some applications to minimization and Nash equilibrium...

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Construction of geometric rough paths

Event Date: Nov 27, 2017 in Núcleo Modelos Estocásticos de Sistemas Complejos y Desordenados, Seminars

Abstract:   This talk is based on a joint work in progress with L. Zambotti (UPMC). First, I will give a brief introduction to the theory of rough paths focusing on the case of Hölder regularity between 1/3 and 1/2. After this, I will address the basic problem of construction of a geometric rough path over a given ɑ-Hölder path in a finite-dimensional vector space. Although this problem was already solved by Lyons and Victoir in 2007, their method relies on the axiom of choice and thus is not explicit; in exchange the proof is simpler. In an upcoming paper, we provide an explicit...

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3 SESIONES SEMINARIO OPTIMIZACION Y EQUILIBRIO

Event Date: Nov 22, 2017 in Optimization and Equilibrium, Seminars

Expositores 16:00–16:30hrs  Prof. Boulmezaoud, Tahar Zamene, Laboratoire de Mathématiques de Versailles, Université de Versailles, France Title: On Fourier transform and weighted Sobolev spaces Astract: We prove that Fourier transform defines a simple correspondance between weighted Sobolev spaces. As a consequence, we display a chain of nested invariant spaces over which Fourier transform is an isometry. &&&&& 16:30–17:00 hrs Prof. Lev Birbrair, Federal Univerisity of Ceara, Brazil Title: Resonance sequences.  Differential equations meet Number Theory....

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Limits of sequences of maximal monotone operators.

Event Date: Nov 15, 2017 in Optimization and Equilibrium, Seminars

Abstract: We consider a sequence of maximal monotone operators on a reflexive Banach space. In general, the (Kuratowski) lower limit of such a sequence is not a maximal monotone operator. So, what can be said? In the first part of the talk, we show that such a limit is a representable monotone operator while its Mosco limit, when it exists, is a maximal monotone operator. As an application of the former result, we obtain that the variational sum of two maximal monotone operators is a representable monotone operator. In the second part of the talk, we consider a sequence  of representative...

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