The BCFW triangulation of the amplituhedron

Seminar
Speaker
Chaim Even-Zohar (Technion)
Date
24/04/2022 - 16:00 - 14:30Add to Calendar 2022-04-24 14:30:00 2022-04-24 16:00:00 The BCFW triangulation of the amplituhedron The amplituhedron A(n,k,m) is a geometric object, discovered by Arkani-Hamed and Trnka (2013) in the study of scattering amplitudes in quantum field theories.  They conjectured that A(n,k,4) admits a decomposition based on a certain combinatorial structure.  The components are images of BCFW positroid cells of the Grassmannian Gr(k,n), which arise from the Britto–Cachazo–Feng–Witten recurrence (2005).  In a recent paper with Tsviqa Lakrec and Ran Tessler, we prove this conjecture.  In the talk, I will review the amplituhedron, its BCFW triangulation, and the main ideas of the proof. Joint work with Tsviqa Lakrec and Ran Tessler.   Room 216/201 and also Zoom אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Room 216/201 and also Zoom
Abstract

The amplituhedron A(n,k,m) is a geometric object, discovered by Arkani-Hamed and Trnka (2013) in the study of scattering amplitudes in quantum field theories.  They conjectured that A(n,k,4) admits a decomposition based on a certain combinatorial structure.  The components are images of BCFW positroid cells of the Grassmannian Gr(k,n), which arise from the Britto–Cachazo–Feng–Witten recurrence (2005). 

In a recent paper with Tsviqa Lakrec and Ran Tessler, we prove this conjecture.  In the talk, I will review the amplituhedron, its BCFW triangulation, and the main ideas of the proof.

Joint work with Tsviqa Lakrec and Ran Tessler.
 

תאריך עדכון אחרון : 15/04/2022