From Thurston's corrugations to smooth fractals

by Vincent Borrelli

Thursday 30 May 2024, 16:15 → 17:15 Europe/Zurich

Sitzungszimmer (MI)

Corrugation theory, developed in the 1970s by Thurston, subsequently emerged as an important ingredient in the C^1 embedding theorem of Nash and Kuiper. This theorem is the source of many counter-intuitive results: for instance, the existence of reduced spheres or the possibility of performing a isometric eversions of spheres or tori. In this talk, we will present explicit constructions of isometric embeddings and make the connection with Thurston's corrugation theory. The study of the geometry of these embeddings will lead us towards the notion of smooth fractal.