Cursos

Cursos

Lecture 2/4: Analytic and topological tools for strong density

Ponente:  Antoine Detaille (Université de Lyon)
Fecha:  jueves 07 de noviembre de 2024 - 12:00 - 13:15
Lugar:  Aula Gris 2, ICMAT

Resumen:

This session will be devoted to the presentation of the strong density theorem and the building blocks of its proof, that display a fascinating interplay between analysis and topology. We shall not attempt to present the proof of the general case in full detail, but instead explain the tools on basic, and hopefully insightful, cases, in order to give the intuition about how they work.

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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