Speaker: Mathieu Dedenon, University of Geneva, Swizerland

RESUMEN: Los flujos y homeomorfismos expansivos en espacios métricos compactos han sido extensamente estudiados debido a sus propiedades ergódicas. Recientemente, se ha trabajado en extender estos resultados a sistemas no invertibles, esto es, endomorfismos y semiflujos.

En esta charla contrastaremos dos formas que han surgido para abordar este problema, la expansividad positiva y los límites inversos. Repasaremos los resultados de Jaque y Herrero, que muestran ciertas limitaciones impuestas por la propiedad de expansividad positiva. Tras esto, veremos como los límites inversos nos permiten trabajar con un mayor conjunto de sistemas dinámicos y construiremos ejemplos no triviales de sistemas no invertibles con propiedades expansivas.

EXPOSITOR: Juan Peña (Universidad de Chile)

Abstract: Diego Ferruzzo is director of Brazil Flying Labs, an initiative dedicated to promoting the use of geospatial technologies, drones, and innovation to address social, environmental, and humanitarian challenges in Latin America. This webinar will discuss how satellite imagery from the Copernicus program’s Sentinel-2 constellation has helped develop a solution that provides free, up-to-date, and accurate information on the extent and severity of damage caused by wildfires.

Speaker: Diego Ferruzzo, director of Brazil Flying Labs

Live stream on YouTube: https://www.youtube.com/watch?v=tvgOGA89CZs

Abstract:
The wave kinetic equation (WKE) is a fundamental effective equation in wave turbulence theory that describes the evolution of the energy spectrum in a weakly interacting nonlinear wave system, with important applications in fields such as oceanography, plasma physics and nonlinear optics. Recent breakthrough results by Deng and Hani established the first full-range mathematical derivation of the 4-wave (or cubic) WKE from the (dispersive, reversible) nonlinear Schrödinger equation under suitable scaling limits.

Abstract: 

Quasinormality is a classical constraint qualification originally introduced by Hestenes in 1975 and subsequently extensively studied in nonlinear programming and in problems with abstract constraints. In this talk, we extend this concept to the setting of nonlinear semidefinite programming (NSDP). We show that the proposed condition is strictly weaker than Robinson’s constraint qualification, while still guaranteeing the existence of exact penalty functions, local error bounds, and boundedness of dual sequences generated by augmented Lagrangian methods.

As a consequence, convergence to Karush–Kuhn–Tucker points can be established for a broader class of NSDPs under mild regularity assumptions. In addition, a pseudonormality condition is introduced and explored.

Speaker: Daiana Oliveira dos Santos (Federal University of São Paulo)
When:  Miércoles 10 de junio de 2026, a las 16.15 horas
Venue: John von Neumann Seminar Room, Center for Mathematical Modeling (Beauchef 851, North Building, 7th Floor)

Programa
11:00 – 11:50: Recepción de asistentes y cóctel de bienvenida
11:50 – 12:00: Ingreso a la Sala Maryam Mirzakhani
12:00 – 12:05: Bienvenida, a cargo de Florencio Utreras, director de CopernicusLAC Chile
12:05 – 12:25: Redes Ópticas: Conectividad Avanzada para Educación, Investigación e IA, presentada por Gustavo Wymerszberg, Account Manager de Ciena
12:25 – 12:45: Modernización de la Conectividad de CopernicusLAC: Implementación de Infraestructura DWDM de Alta Capacidad entre CMM y REUNA, presentada por Rubén García, gerente TI de CopernicusLAC Chile
12:45 – 12:55: Espacio de preguntas y conversación con los expositores
12:55 – 13:00: Cierre de la actividad

Les invitamos a inscribirse en el siguiente enlace: https://go.cmm.uchile.cl/cienaday

Abstract: When does a graph G contain a Hamilton cycle? This is one of the central questions of graph theory, which is one of Karp´s original  21 NP-complete problems. In this talk, I’ll revise conditions on sparse graphs that ensure the existence of a Hamilton cycle. In particular, optimal pseudorandom conditions forcing not only Hamiltonicity, but also resilience and (approximate) Hamilton decompositions, and how symmetry also plays a role in the Hamiltonicity problem, as in the Lovász conjecture from 1969.

Speaker: Matías Pavez Signé (Universidad de Chile/CMM)

Abstract:

This talk presents fast optimization algorithms from the viewpoint of continuous dynamical systems.

We begin with the classical correspondence between gradient flow and gradient descent, and then discuss how nonsmooth gradient flows naturally lead to proximal-type methods. The main focus is on inertial dynamical systems, where second-order terms introduce memory and momentum into the optimization process.

Through this perspective, we explain how continuous-time models such as the heavy-ball system and Nesterov-type dynamics provide insight into acceleration, damping, stability, and convergence of fast first-order methods.

We also discuss how these ideas can be extended beyond standard minimization problems, including recent directions for nonconvex minimax optimization.

Speaker: Raúl Tintaya (CMM, U. de Chile)

La investigación propone un método basado en tecnologías geoespaciales y datos multifuente para caracterizar metales pesados en suelos y vegetación. El estudio fue desarrollado en España y transferido a Ecuador, el cual permite identificar elementos como As, Cd, Cr, Cu, Hg, Ni, Pb y Zn mediante imágenes satelitales (Sentinel-2 y PRISMA), técnicas espectrales e índices de diferencia normalizada. Los resultados muestran precisiones prometedoras, especialmente con Sentinel-2, y ofrecen una herramienta útil para agricultores, instituciones públicas e investigadores en la gestión sostenible del territorio y la seguridad alimentaria.

El evento se realizará en el Centro de Modelamiento Matemático (CMM) de la Universidad de Chile, y se transmitirá en vivo por el canal de YouTube de CopernicusLAC Chile en este enlace: https://go.cmm.uchile.cl/seminario29mayo

El expositor será Francisco Cabrera-Torres, Especialista Geomático en la Fuerza Aérea Ecuatoriana y PhD de Ingeniería Geomática de la Universidad Politécnica de Madrid.

Abstract:
We will introduce the Young generating function and use it to characterize the law of large numbers and the central limit theorem behaviors for random partitions. As an application of these results, we present a framework to obtain conditional Gaussian Free Field fluctuations for height functions associated with random standard Young tableau. To prove these results we develop algebraic formulas for operators on the Gelfand–Tsetlin algebra of the symmetric group.

Speaker: 
Gabriel Raposo (UC Berkeley)

Join Zoom Meeting
https://reuna.zoom.us/j/84521834914?pwd=OTZ6Y0NWM3pYTGtTbEt3c0luTG96UT09
ID de reunión: 845 2183 4914
Código de acceso: 997973