Total positivity and cluster algebras

TL;DR

This paper provides an informal overview of cluster algebras, emphasizing their historical development and connection to total positivity, highlighting their significance in mathematical research.

Contribution

It offers a concise, accessible introduction to cluster algebras and their origins, focusing on total positivity as a motivating concept.

Findings

Cluster algebras are closely linked to total positivity.

Historical development of cluster algebras is outlined.

The paper highlights the importance of total positivity in their discovery.

Abstract

This is a brief and informal introduction to cluster algebras. It roughly follows the historical path of their discovery, made jointly with A.Zelevinsky. Total positivity serves as the main motivation.