What is Positive Geometry?

TL;DR

This paper introduces positive geometry, discussing its origins, key objects, current progress, and open challenges in this emerging mathematical field.

Contribution

It provides an overview of positive geometry's development, its foundational concepts, and highlights open problems for future research.

Findings

Summarizes the origins and objects of positive geometry.

Reports on recent progress in the field.

Lists open challenges for further exploration.

Abstract

This article serves as an introduction to the special volume on Positive Geometry in the journal Le Matematiche. We attempt to answer the question in the title by describing the origins and objects of positive geometry at this early stage of its development. We discuss the problems addressed in the volume and report on the progress. We also list some open challenges.