Evento
Descrizione:
Seminario online: link
Abstract:
The amplituhedron is the image of the positive Grassmannian—the region of the Grassmannian where all Plucker ̈
coordinates are nonnegative—under a totally positive linear map. It is a far-reaching generalization of cyclic polyto-pes and hyperplane arrangements, and the positive
Grassmannian itself. The “volume” of the amplituhedron encodes probabilities of particle interactions in the quantum field
theory N=4 super Yang-Mills, and calculating this volumeinvolves decomposing (or tiling) the amplituhedron into
smaller pieces (or tiles) and summing their volumes. This talk will delve into the rich combinatorics of these tiles and
tilings, presenting recent results on some of the central conjectures in this area, including the magic number, BCFW tiling, and cluster adjacency conjectures.
