AA3 – Networks

Project

AA3-10*

Tropical Grassmannians and Scattering Amplitudes

Project Heads

Michael Joswig

Project Members

Jorge Olarte

Project Duration

01.01.2021 − 31.12.2021

Located at

TU Berlin

Description

The Grassmannian Gr(k,n) comprises the k-dimensional sub- spaces of an n-dimensional vector space over a given field K; here typically K = C. The Grassmannian itself and its polyhedral shadow, the tropical Grassmannian TGr(k, n), parameterize kinematic invariants and amplitudes in quantum field theory. We use recent advances on the combinatorics, algorithms and soft- ware to find explicit representations.

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