# The Rectangular Peg Problem

## Location

Zoom (email Sarah McConnell for link)

Wednesday, June 3, 2020 2:00 PM

Paul Falcone (Stanford)

Recently, Greene and Lobb proved the rectangular peg problem, which states that given any rectangle and any smooth Jordan curve, there is an inscribed rectangle on the curve similar to the given rectangle. The proof uses a result from Shevchishin that the Klein bottle does not admit a smooth Lagrangian embedding into C^2. In this talk, we will present their proof and some of the historical context surrounding the problem.