Inscription problems and Floer homology
Seminar in Mathematics
Abstract: In 1911, Toeplitz asked whether every Jordan curve in the plane contains the vertices of a square. I will explain why this naïve-looking problem is interesting and so difficult to solve. Then I will discuss recent progress on it using symplectic techniques, specifically Floer homology, and which seem poised to say much more. This work is joint with Andrew Lobb.
Abstract: In 1911, Toeplitz asked whether every Jordan curve in the plane contains the vertices of a square. I will explain why this naïve-looking problem is interesting and so difficult to solve. Then I will discuss recent progress on it using symplectic techniques, specifically Floer homology, and which seem poised to say much more. This work is joint with Andrew Lobb.
Practical information
- Informed public
- Free
- This event is internal
Organizer
- Institute of Mathematics
Contact
- Prof. Maryna Viazovska, Director