The APDE seminar on Monday, 1/27, will be given by Iqra Altaf (Chicago) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Mengxuan Yang ().

Title: A one-dimensional planar Besicovitch set.

Abstract: A Γ-Besicovitch set is a set that contains a rotated copy of Γ in every direction.
Our main result is the construction of a non-trivial 1-rectifiable set Γ in the plane, for which there exists a 1-dimensional Γ-Besicovitch set.