Spherical friezes

Abstract:

A fundamental problem in spherical distance geometry aims to recover an \$n\$-tuple of points on a 2-sphere in \$\mathbb{R}^3\$, viewed up to oriented isometry, from \$O(n)\$ input measurements. This talk will discuss an algebraic solution using only the four arithmetic operations. We will show how a new type of frieze pattern can be employed to arrange the measurement data. These friezes exhibit glide symmetry and a version of the Laurent phenomenon.

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.

Join Zoom Meeting: https://washington.zoom.us/j/91547335974
Meeting ID: 915 4733 5974