Carlos R. Mafra
Published 2020-11-29Version 1
These notes are a written version of my talk given at the CARMA workshop in June 2017, with some additional material. I presented a few concepts that have recently been used in the computation of tree-level scattering amplitudes (mostly using pure spinor methods but not restricted to it) in a context that could be of interest to the combinatorics community. In particular, I focused on the appearance of {\it planar binary trees} in scattering amplitudes and presented some curious identities obeyed by related objects, some of which are known to be true only via explicit examples.
Comments: 19 pp, submission to CARMA proceedings from 2017
Journal: Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) (2020): 349-365
Planar binary trees, noncrossing partitions and the operator-valued S-transform
TASEP and Planar Binary Trees: A Combinatorial Approach
Order structure on the algebra of permutations and of planar binary trees
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