The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)

presents

Geometry Seminar of ICMS

20.08.2025 16:00, Sofia time

ICMS-Sofia, Room 403
Zoom: https://us02web.zoom.us/j/86186281353?pwd=6CARUygJaA3HiTNAt3norZQRFt8fIL.1

Friezes

by Andrei Zabolotskii
the Open University, UK

Abstract:

Friezes, originally introduced by Coxeter, are simple objects which however turned out to be connected with surprisingly many seemingly unrelated concepts from a variety of subjects. These include combinatorics (polygon dissections), number theory (continued fractions), geometry (the Farey graph), and algebra (cluster algebras — a hot topic of their own). I will survey these connections using interactive visualisations, introduce the family of basic examples of cluster algebras, and present a new connection between not-necessarily-positive friezes and cluster algebras.