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hep-th2024
From Feynman diagrams to the amplituhedron: a gentle review
Shounak De, Dmitrii Pavlov, Marcus Spradlin +1
In this article we review, for a mathematical audience, the computation of (tree-level) scattering amplitudes in Yang-Mills theory in detail, in order to bridge the gap in understa…
math.AG2024
Hyperplane Arrangements in the Grassmannian
Elia Mazzucchelli, Dmitrii Pavlov, Kexin Wang
The Euler characteristic of a very affine variety encodes the algebraic complexity of solving likelihood (or scattering) equations on this variety. We study this quantity for the G…
math.AG2024
Santaló Geometry of Convex Polytopes
Dmitrii Pavlov, Simon Telen
The Santaló point of a convex polytope is the interior point which leads to a polar dual of minimal volume. This minimization problem is relevant in interior point methods for conv…