Seminars

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.

 

Computational methods for cardiac catheter ablation procedures.

Event Date: Jan 22, 2024 in Salud Digital, Seminars

Abstract: Cardiac ablation treatments are essential procedures for the treatment of severe cases of cardiac arrhythmias. Using a catheter, these minimally invasive treatments introduce scarring in the cardiac tissue, insulating arrhythmogenic areas and restoring the normal sinus rhythm of the heart. The creation of digital twins and personalized models can aid in therapy planning and improvement of the efficacy and safety of interventional procedures. In this talk we will delve into the multiscale and multiphysics mathematical modelling...

Dominios de Baker hiperbólicos y formalismo termodinámico.

Event Date: Jan 22, 2024 in Dynamical Systems, Seminars

RESUMEN: Aplicamos técnicas de formalismo termodinámico a una familia de funciones enteras que tiene dominios de Baker de tipo hiperbólico probando la existencia de medidas conformes y obteniendo una fórmula de tipo Bowen para la dimensión de Hausdorff de un subconjunto “dinámicamente bueno” del conjunto de Julia. (Este es un trabajo conjunto con I. Inoquio).

Asymptotic stability of small solitary waves for the one-dimensional cubic-quintic Schrödinger equation.

Event Date: Jan 16, 2024 in Differential Equations, Seminars

Abstract: I will present two results on the asymptotic stability of small solitary waves for the one-dimensional cubic-quintic Schrödinger equation. The first result concerns the focusing-defocusing double power nonlinearity, for which the linearized operator around the small solitary waves has no internal mode. The second result concerns the more delicate case of the focusing-focusing double power nonlinearity, for which the linearized operator around the small solitary waves actually has an internal mode. The internal mode component of the...

Multiple ergodic averages along polynomials for systems of commuting transformations.

Event Date: Jan 15, 2024 in Dynamical Systems, Seminars

RESUMEN: The last 50 years have seen tremendous activity at the interface between ergodic theory, combinatorics and number theory that started with Furstenberg’s dynamical proof of the Szemerédi theorem from the 1970s. The goal of this line of research has been to prove new multiple recurrence results and then deduce combinatorial corollaries. To achieve this, one wants to understand the limiting behaviour of relevant multiple ergodic averages. Of particular interest are averages of commuting transformations with polynomial iterates: they...

A qualitative analysis of an Aβ-monomer model with inflammation processes for Alzheimer’s disease.

Event Date: Jan 15, 2024 in Differential Equations, Seminars

Abstract: We introduce and study a new model for the progression of Alzheimer’s disease incorporating the interactions of A_beta-monomers, oligomers, microglial cells and interleukins with neurons through different mechanisms such as protein polymerization, inflammation processes and neural stress reactions. In order to understand the complete interactions between these elements, we study a spatially-homogeneous simplified model that allows to determine the effect of key parameters such as degradation rates in the asymptotic behavior of...

From turbulence to climate: pathways and ecology of upper ocean nutrient flux

Event Date: Jan 11, 2024 in Seminario CMM-Clima y Biodiversiada, Seminars

Summary: Ocean currents shape the distribution and magnitude of microbial populations with cascading influences on the global carbon cycle. In this talk, I will derive a parameterization for the turbulent flux of biological tracers and highlight the role of biological timescales. This parameterization reveals a growth-transport feedback that can generate diversity in phytoplankton community structure at fine scales (1-10 km) and higher net productivity in the presence of community diversity. I will then use ship-board observations to examine...

Uniquely ergodic subshifts over compactifications of the naturals

Event Date: Jan 08, 2024 in Dynamical Systems, Seminars

RESUMEN: In this talk, we will discuss one-dimensional substitution subshifts over (infinite) compact alphabets and their dynamical properties. As a motivating class, we will focus on shifts generated by a parametrised family of substitutions on certain compactifications of the natural numbers. We will provide a general checkable condition for unique ergodicity that relies on compactness properties of the substitution operator, which the analogue of the substitution matrix for infinite alphabets.

Analysing necessary optimality conditions for a time optimal control problem in Wasserstein spaces.

Event Date: Dec 20, 2023 in Optimization and Equilibrium, Seminars

Abstract: We are interested in developing necessary optimality conditions in the form of a Pontryagin maximum principle for the minimal time Bolza optimal control problem with constraints in the final time. In this problem, the dynamic is given by a non-local continuity equation in the Wasserstein space of probability measures, the set of controls are taken in open-loop form and the set of constraints is represented by functional inequalities applied to the terminal time. To this end, we relate the main challenges of this problem from which a...

An SDE perspective on stochastic convex optimization.

Event Date: Dec 20, 2023 in Optimization and Equilibrium, Seminars

Abstract: We analyze the global and local behavior of gradient-like flows under stochastic errors towards the aim of solving convex optimization problems with noisy gradient input. We first study the unconstrained differentiable convex case, using a stochastic differential equation where the drift term is minus the gradient of the objective function and the diffusion term is either bounded or square-integrable. In this context, under Lipschitz continuity of the gradient, our first main result shows almost sure weak convergence of the...

Determinando la fiabilidad de instrumentos de observación para la enseñanza y el aprendizaje mediante la Teoría de la Generalizabilidad

Event Date: Dec 12, 2023 in Education, Seminars

Resumen: En la presentación daré una breve visión general sobre la medición de la calidad de la enseñanza con calificaciones de observadores, que se han utilizado ampliamente en la investigación sobre la eficacia educativa durante la última década. A continuación, presentaré un marco estadístico que ayuda a dar sentido a los datos resultantes de la observación en el aula, denominado Teoría de la Generalizabilidad (TG). Ambas partes de la presentación estarán repletas de ejemplos de datos reales procedentes de proyectos de...