29 April 2026 — Padova

Clusters and forms

Davide Dal Martello, University of Padova

Abstract

Using the LP algebraic toolkit, Conway’s original topograph is rethought of as a cluster construction, paving the way for a wider topography based on mutation. As an application, the reduction algorithm for quadratic forms is endowed with the Laurent phenomenon. En passant, the rattlesnake is defined so to complete the bijection between snake graphs and rationals to the whole of Q.