Algebraic and enumerative combinatorics seminar-Katie Waddle

Thursday, February 27, 2025 2:00 pm - 3:00 pm EST (GMT -05:00)

Title: Spherical friezes

Speaker Katie Waddle
Affiliation University of Michigan
Location MC 5479

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 to this problem 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.

There will be a pre-seminar presenting relevant background at the beginning graduate level starting at 1pm,