100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Marcos Cossarini

Discrete Metric Geometry
Jeudi, 23 Mars, 2023 - 14:00
Résumé : 
A wallsystem on a surface is a 1-submanifold satisfying certain conditions. It allows us to define a discrete notion of length and area: the length of a curve is the number of times that it crosses the wallsystem, and the area of the surface is the number of self-intersections of the wallsystem.  We will see how to approximate any Riemannian (or self-reverse Finsler) metric on a compact surface by a wallsystem, and we'll discuss applications to the filling area conjecture and the inverse problem for boundary distances.
Institution de l'orateur : 
Université Gustave Eiffel
Thème de recherche : 
Théorie spectrale et géométrie
Salle : 
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