What is Positive Geometry?
Kristian Ranestad, Bernd Sturmfels, Simon Telen

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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics
