Noticias en español
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.
Sistemas substitutivos y S-ádicos más allá de los grupos abelianos
RESUMEN: Los sistemas sustitutivos y S-ádicos tienen una rica teoría en el marco unidimensional y multidimensional, lo que proporciona herramientas poderosas para el estudio de los subshifts. Con el objetivo de recuperar estas herramientas para las acciones de grupo, en esta presentación mostraré cómo podemos extender el concepto de sustituciones a los grupos numerables. Exploraré cómo diferentes clases de grupos admiten diferentes tipos de descomposiciones jerárquicas que permiten definir subshifts sustitutivos y S-ádicos. Luego mostraré...
Mixed Local and Nonlocal Laplacian without Standard Critical Exponent for Lane-Emden equation
Abstract: —–see attached
Selfish Learners in Queueing Systems with Small Buffers.
Abstract: Algorithmic Game Theory has provided a good understanding of the impact of strategic behavior on outcomes in many one-shot games, including traffic routing and online auctions. This has been extended to repeated games under the assumption players use some form of (no-regret) learning. However, in many real-life scenarios, rounds are not repetitive and may involve carryover effects from one round to the next. This is the case of budgeted auctions and queuing systems. In this talk, we analyze a queueing system modeling packet routing...
Dynamics on the thick points of the GFF & Monotonicity in Quadratically Regularized Optimal Transport.
VER RESUMEN ADJUNTO
Elementos distorsionados en grupos de difeomorfismos de variedades unidimensionales.
RESUMEN: Se dice que un elemento g de un grupo abstracto G es distorsionado si existe una familia finita S en G que genera g y tal que la longitud de palabra de g^n con respecto a S crece sublinearmente con n. Esta noción muy general de teoría geométrica de grupos es particularmente interesante en el contexto de grupos de transformaciones, ya que provee obstrucciones a que ciertos grupos actúen fielmente en ciertos espacios (dotados de ciertas estructuras). En esta charla, nos interesaremos en los grupos de homeo/difeomorfismos de la recta...
Inverse scattering for asymptotically hyperbolic manifolds.
RESUMEN: On compact Riemannian manifolds with boundary, the (anisotropic) Calderón’s problem asks to what extent the Dirichlet-to-Neumann map associated with the Laplace—Beltrami equation determines the metric (up to a natural obstruction). In this talk, I will discuss a similar problem, known as inverse scattering for asymptotically hyperbolic manifolds (i.e., manifolds that, outside a compact region, behave like the hyperbolic space): fixed an “energy level”, and given the analog of the Neumann data for solutions to...
ImproveApproximation Algorithms for Path and Forest Augmentation via a Novel Relaxation
Abstract: The Forest Augmentation Problem (FAP) asks for a minimum set of additional edges (links) that make a given forest 2-edge-connected while spanning all vertices. A key special case is the Path Augmentation Problem (PAP), where the input forest consists of vertex-disjoint paths. Grandoni, Jabal Ameli, and Traub [STOC’22] recently broke the long-standing 2-approximation barrier for FAP, achieving a 1.9973-approximation. A crucial component of this result was their 1.9913-approximation for PAP; the first better-than-2...
Stochastic models with age structure under harvesting: existence, approximation and estimation.
Resumen: In this talk, we will present the development and analysis of a mathematical model for the kelp population, which integrates ecological and sociological aspects, in particular the response of harvesters to environmental regulations through parametrised decision rules. We will begin with a heuristic derivation of the model, incorporating the uncertainty inherent in open systems. We will then address the theoretical analysis, establishing conditions for the existence and uniqueness of admissible solutions in our context, the...
Evolution of viscous vortex filaments.
Abstract: Vorticity filaments (one-dimensional structures where vorticity concentrates) play a central role in understanding turbulence generation and energy transfer in fluids. In this talk, I will discuss about how these structures evolve in a viscous fluid. I will consider initial data given by a vorticity measure supported on an infinite smooth curve in R^3. I will show that, for short enough time, the solution consists of a leading-order Lamb–Oseen vortex centered around a curve that evolves according to the binormal flow, a second-order...
Linearized marked length spectrum rigidity for general Anosov flows.
RESUMEN: In this talk I will present some work in progress in a linearized version of the marked length spectrum rigidity for general Anosov flows (also known as Burns-Katok conjecture). I will begin with an introduction to the microlocal techniques used by Guillarmou and Lefeuvre to solve the problem in the case where metrics of negative curvature are close enough. Then, I will show how to generalize some aspects from the geodesic flow to more general ones, as the magnetic or thermostat flows, under some reasonable dynamical...
