Tilings and Cluster Algebras for the Amplituhedron (Tsviqa LAKREC, UNIGE)

04.11.2025 15:30 – 16:30

In 2005, Britto, Cachazo, Feng and Witten (BCFW) gave a recurrence relation for computing scattering amplitudes in N = 4 super Yang–Mills theory. In 2013, Golden, Goncharov, Spradlin, Vergu and Volovich discovered in the scattering amplitudes of this theory a cluster algebraic structure. The amplituhedron A(n,k,m) is a geometric object, introduced by Arkani-Hamed and Trnka in 2013, conjectured to encode scattering amplitudes in planar N = 4 super Yang–Mills. In this talk, I will discuss the amplituhedron and how both the aforementioned BCFW recursion and cluster algebra structures are manifested in it. Based on joint works with Even-Zohar, Parisi, Sherman-Bennett, Tessler and Williams.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre