Peg problems and peg progress

Abstract: Draw any closed curve you like on a piece of paper. Formulated in 1911, the Toeplitz Square Peg Problem (which remains unsolved) conjectures that there exist four points on this curve at the vertices of a square. Over the past five years there has been much progress made on relatives of the TSPP, and this progress began partly at OIST during the early months of the pandemic. I shall give a snapshot of where things stand, and an indication of some of the new ideas that have revitalized interest in this area. The talk shall be very accessible, with no specialized knowledge assumed.

combinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

OIST representation theory seminar

Series comments: Timings of this seminar may vary from week to week.