Noticias en español
The Burial of Coupling Constraints in Linear Bilevel Optimization.
Abstract: It has been common sense in (linear) bilevel optimization that problems with coupling constraints are more difficult to tackle than those without such constraints. While the modeling capabilities in terms of the feasible sets are indeed richer because coupling constraints allow to model disconnected feasible sets, complexity theory did not see any difference between problems with our without coupling constraints. In this talk, we show that there is no difference at all when one considers optimal solutions instead of just feasible points. For the case of optimistic bilevel...
Read More“Classification of Semigraphical Translators: The yeti doesn’t exist!”
Abstract: In this talk I will discuss the non-existence of certain solutions to the equation that determines translating solutions to Mean Curvature Flow. This result completes the classification to semigraphical translators.
Read MoreAcciones Evanescentes Aunque Recurrentes.
RESUMEN En los años 60, Edelstein dio ejemplos de isometrías afines sin punto fijo de espacios de Hilbert para las cuales una sucesión de iterados converge a la identidad. Este fenómeno no puede producirse en dimensión finita, incluso para métricas no hilbertianas. En esta charla veremos que ejemplos del tipo de Edelstein aparecen naturalmente asociadas a dinámicas clásicas sobre ciertos espacios. La charla girará en torno a la reciente prepublicación https://arxiv.org/pdf/2501.12120; se presentarán varios problemas abiertos y eventuales direcciones de investigación.
Read MoreEvaluación Del Uso De Estrategias Metacognitivas en Procesos de Modelización Matemática.
Resumen: El currículum escolar chileno incluye la modelización matemática como una habilidad clave a desarrollar a lo largo de todo el proceso formativo en matemática. Sin embargo, los procesos de modelización son altamente complejos, poco estructurados y se caracterizan por ser desafiantes. En este sentido, se reconoce la importancia de las estrategias metacognitivas para lograr un desarrollo exitoso y orientado a objetivos. En esta presentación, se abordará la adaptación de un cuestionario que permitió evaluar las estrategias metacognitivas empleadas por grupos de estudiantes en...
Read MoreNumerical solution of optimal control problems under uncertainty.
Abstract: The topic of this talk is a class of optimal control problems subject to uncertainty. We highlight some of the difficulties in the infinite-dimensional setting, which is of interest in physics- based models where a control belonging to a Banach space acts on a system described by a partial differential equation (PDE) with random inputs or parameters. We compare numerical approaches based on sample average approximation (SAA) and stochastic approximation (SA). The latter approach can be shown to perform competitively for applications in PDE-constrained optimization and numerical...
Read MoreMultiple normalized solutions to a system of nonlinear Schrödinger equations.
Abstract: We present recent results concerning normalized solutions to a system of coupled nonlinear Schr¨odinger equations. The problem appears in different areas of mathematical physics, e.g. in the analysis of Bose-Einstein condensation or in nonlinear optics. By means of spectral results, the Cwikel-Lieb-Rozenblum theorem, the Morse index and new Liouville-type results we show the existence of multiple normalized solutions for sufficiently large coupling. The talk is based on joint work with Andrzej Szulkin.
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