Cursos
Lecture 1/4: The main problems concerning Sobolev mappings to manifolds
Ponente: Antoine Detaille (Université de Lyon)Fecha: lunes 04 de noviembre de 2024 - 12:00 - 13:15Lugar: Aula Gris 2, ICMAT
Resumen:
In this session, we will review the main problems that are raised by the study of Sobolev mappings with values into manifolds, such as density, extension of traces, and lifting. Other problems could be mentioned briefly if time allows. This will also be the opportunity to revise some fundamental concepts in topology that are of crucial importance to understand those problems.
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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.
