Cursos

Cursos

Lecture 4/4: The weak density problem: connections and dipoles

Ponente:  Antoine Detaille (Université de Lyon)
Fecha:  jueves 14 de noviembre de 2024 - 12:00 - 13:15
Lugar:  Aula Gris 2, ICMAT

Resumen:

In this last session, we will briefly study what happens when strong convergence is replaced by weak convergence. We will focus on a famous technique to obtain positive results of weak approximation, namely eliminating the topological singularities of a Sobolev mapping along connections between them.

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Minicourse: Analytic, geometric, and topological methods for Sobolev mappings to manifolds (4, 7, 11 & 14 November)

In this minicourse, we will explore the theory of Sobolev mappings with values into a compact manifold. The study of such mappings is motivated by applications coming from geometry, physics, computer graphics, and numerical methods, and their study per se raises many beautiful and challenging problems. The objective is to give an overview of some of these problems, and to explain a few tools that have been developed to tackle them. The ideas will systematically be illustrated on insightful model cases, avoiding too much technicality. The only prerequisite is a relative comfort with functional analysis, especially classical Sobolev spaces. All concepts of topology and geometry that will be used in the course shall be duly reminded.

Poster