Abstract: The unsolved Toeplitz Square Peg Problem was posed in 1911. It asks whether all Jordan curves (subsets of the real plane homeomorphic to a circle) contain four points at the vertices of a square. We shall discuss this problem and related "peg" problems. They sometimes admit a description in terms of symplectic geometry.
No prior knowledge of pegs or of symplectic geometry assumed. (Joint work with Josh Greene).
Speaker: Andrew Lobb (Durham University)
This talk will also be broadcast online via Zoom:
Meeting ID: 974 4775 6289
Passcode: 371131