Prof. Peter Feller (ETHZ): Inscribed rectangles, Knots, and Möbius bands

General public Colloquium / Congress / Forum

Does every Jordan curve in the Euclidian plane contain 4 points that form the corners of a square?
Starting from this old metric problem posed by Toeplitz a hundred years ago, we discuss problems in low-dimensional topology.
The talk will feature:
- knots, embedded circles in 3-dimensional space,
- disks and Möbius bands in 4-dimensional space, and
- a recent translation due to Hugelmeyer recasting Toeplitz' question as a problem about knots and Möbius bands.
No prior knowledge of low-dimensional topology will be assumed.

When? 01.10.2019 17:15
Where? PER 08 auditoire 2.52
Chemin du Musée 3
1700 Fribourg
Contact Département de mathématiques