# Mathematics Colloquia and Seminars

### Möbius bands and the square peg problem

Geometry/Topology

 Speaker: Marco Golla, Universite de Nantes Location: 3106 MSB Start time: Tue, Dec 10 2019, 1:30PM

The square peg problem asks to prove that every continuous Jordan curve in the plane contains four points that form the vertices of a square. Inspired by Hugelmeyer's approach for smooth Jordan curves, we give a topological proof for (locally) 1-Lipschitz functions using Möbius bands and quite elementary 4-dimensional topology. This is joint work (in progress) with Peter Feller.