Amplituhedron as a positive geometry
Prove or refute that the amplituhedron is a positive geometry in the sense of Arkani-Hamed–Bai–Lam, and assess whether the Brown–Dupont mixed Hodge framework sheds new light on this conjecture.
References
Is the amplituhedron a positive geometry, in the sense of ? This is a guiding conjecture, going back to the original paper by Arkani-Hamed and Trnka . See Section 6. Can the paper shed new light on this?
— What is Positive Geometry?
(Ranestad et al., 18 Feb 2025) in Section “Open questions”: Problem [De]