Sergey Avvakumov
Institute of Science and Technology Austria

Thursday, May 10 at 2:30 PM

Abstract

A 100 years old conjecture states that every closed simple curve in the plane (Jordan curve) contains 4 vertices of a square.
It was proved for smooth curves using standart topological methods. The general case, however, is still open and some geometric intuition is likely required to make any progress.

In the talk I will highlight some of the known results. I will also talk about the more general question – which quadrilaterals can be inscribed in any curve?

Part of the talk is joint work with A. Akopyan.

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Categories: Seminar