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Add to My Calendar

Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

The Combinatorics of the Amplituhedron – Tiles, Tilings, and Cluster Algebras

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Data: 

12/11/2024 - 15:00

Aula: 

Seminario online

Speaker: 

Matteo Parisi

Categoria: 

Seminari di Algebra e Geometria Algebrica

Afferenza: 

Harvard University

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.