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.**

## Learning to draw and drawing to teach: Considerations for teacher learning.

Abstract Mathematics education researchers and teachers generally agree that drawings support student learning, especially in elementary and middle school. However, drawings are not considered “mathematical;” symbols and equations are considered the main representations of mathematics. In this talk, I will argue why teachers and teacher educators should focus on using drawings as a legitimate form of mathematics. Additionally, I will also argue that a shift to using drawings entails a culture shift in how we think about and do mathematics. I...

## Epi-convergence, asymptotic analysis and stability in set optimization problems.

Abstract: We study the stability of set optimization problems with data that are not necessarily bounded. To do this, we use the well-known notion of epi-convergence coupled with asymptotic tools for set-valued maps. We derive characterizations for this notion that allows us to study the stability of vector and set type solutions by considering variations of the whole data (feasible set and objective map). We extend the notion of total epi-convergence to set-valued maps. * This work has been supported by Conicyt-Chile under project FONDECYT...

## Incorporación de TICs en formación inicial de profesores de matemática y su impacto en la visualización: el caso de GeoGebra.

RESUMEN Este estudio de caso investiga el impacto que tiene la incorporación de herramientas tecnológicas digitales en las habilidades de visualización matemática y en programas de formación inicial. Informa sobre la influencia del uso del software matemático dinámico GeoGebra en la promoción del aprendizaje matemático en educación secundaria y su impacto en las concepciones que tienen los profesores sobre la enseñanza y el aprendizaje de la disciplina. En particular, describe cómo los applets creados en el entorno GeoGebra -diseñados y...

## Crystallization of point configurations to the Square Lattice in 2D.

Abstract: We consider minimum-energy configurations x_1, …, x_N in euclidean space, minimizing the energy given by the sum of V( |x_i-x_j| ) for all pairs of distinct indices i,j, with V an interaction potential. Recent breakthroughs (Viazovska Ann. Math. 2017, Cohn-Kumar-Miller-Radchenko-Viazovska Ann. Math. 2017) led to a proof in arXiv:1902.05438 that special lattices in dimensions 8 and 24 form “universally optimal configurations”, i.e. optimize our energy at fixed density for a large class of V’s. This was...

## Maximal Quadratic-Free Sets.

Abstract: The intersection cut paradigm is a powerful framework that facilitates the generation of valid linear inequalities, or cutting planes, for a potentially complex feasible set S of an optimization problem. The key ingredient in this construction is an S-free set: a convex zone whose interior does not intersect S. Ideally, such S-free set would be maximal inclusion-wise, as it would generate a deeper cutting plane. In the case of integer programming, maximal lattice-free sets (i.e., when S corresponds to the integer lattice) have...

## Online Algorithms with Machine Learned Advice.

Abstract: Machine-learned predictors, although achieving very good results for inputs resembling training data, cannot possibly provide perfect predictions in all situations. Still, decision-making systems that are based on such predictors need not only to benefit from good predictions but also to achieve a decent performance when the predictions are inadequate. Assume that you are given some (machine-learned) information regarding an online problem. It would be desirable to design an online algorithm that incorporates this information...

## Satisfying Instead of Optimizing in the Nash Demand Games.

Abstract: The Nash Demand Game (NDG) has been one of the first models (Nash 1953) that has tried to describe the process of negotiation, competition, and cooperation. This model is still subject to active research, in fact, it maintains a set of open questions regarding how agents optimally select their decisions and how they face uncertainty. However, the agents act rather guided by chance and necessity, with a Darwinian flavor. Satisfying, instead of optimising. The Viability Theory (VT) has this approach. Therefore, we...

## Models of collective behavior with singular couplings and their hydrodynamic and mean-field limits.

Abstract: TBA

## “Cómo la percepción remota ayudó a mejorar nuestra comprensión del sistema geotérmico de El Tatio-La Torta: Nuevos desafíos para la exploración geotérmica en Chile y Sudamérica”

Participación en Línea: http://vcespresso.redclara.net/@352109705c115cdd511fb968f9f4ff86# Use Explorer, Firefox o Safari. Debe tener instalado Flash Player en su navegador.

## Enlargements of the Moreau-Rockafellar Subdifferential.

Abstract: The Moreau–Rockafellar subdifferential is a highly important notion in convex analysis and optimization theory. But there are many functions which fail to be subdifferentiable at certain points. In particular, there is a continuous convex function defined on $\ell^2(\mathbb{N})$, whose Moreau–Rockafellar subdifferential is empty at every point of its domain. This talk proposes some enlargements of the Moreau—Rockafellar subdifferential: the sup$^\star$-sub\-differential, sup-subdifferential and symmetric...