3 papers
math.AG2025
Positive Geometry of Polytopes and Polypols
Simon Telen
These are lecture notes supporting a minicourse taught at the Summer School in Total Positivity and Quantum Field Theory at CMSA Harvard in June 2025. We give an introduction to po…
math.AG2025
Toric Amplitudes and Universal Adjoints
Simon Telen
A toric amplitude is a rational function associated to a simplicial polyhedral fan. The definition is inspired by scattering amplitudes in particle physics. We prove algebraic prop…
math.AG2025
What is Positive Geometry?
Kristian Ranestad, Bernd Sturmfels, Simon Telen
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 or…