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Minimal Kinematics on $\mathcal{M}_{0,n}$

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Bernd Sturmfels
MPI for Mathematics in the Sciences, Leipzig
Fri, 26/04/2024 - 11:30 - 13:00
MPIM Lecture Hall
Parent event: 
MPIM Math-Phys Seminar

Minimal kinematics identifies likelihood degenerations where the critical points are given by rational formulas. These rest on the Horn uniformization of Kapranov-Huh. We characterize all choices of minimal kinematics on the moduli space $\mathcal{M}_{0,n}$. These choices are motivated by the CHY model in physics and they are represented combinatorially by 2-trees. We compute 2-tree amplitudes, and we explore extensions to non-planar on-shell diagrams, here identified with the hypertrees of Castravet-Tevelev.

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