Tuesday September 15th, 2026 03:30 PM to 04:30 PM
L5D23 and zoom
Title: Peg problems and symplectic geometry.
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).