ICTS:31082

A Mathematical Introduction to the Amplituhedron

APA

(2025). A Mathematical Introduction to the Amplituhedron. SciVideos. https://youtube.com/live/sYvrAZ26IVs

MLA

A Mathematical Introduction to the Amplituhedron. SciVideos, Feb. 13, 2025, https://youtube.com/live/sYvrAZ26IVs

BibTex

          @misc{ scivideos_ICTS:31082,
            doi = {},
            url = {https://youtube.com/live/sYvrAZ26IVs},
            author = {},
            keywords = {},
            language = {en},
            title = {A Mathematical Introduction to the Amplituhedron},
            publisher = {},
            year = {2025},
            month = {feb},
            note = {ICTS:31082 see, \url{https://scivideos.org/index.php/icts-tifr/31082}}
          }
          
Melissa Sherman-Bennett
Talk numberICTS:31082

Abstract

Scattering amplitudes in N=4 supersymmetric Yang-Mills theory can be computed using the BCFW recursion. There are many ways of running the recursion and hence many formulas for a single amplitude. The amplituhedron, defined by Arkani-Hamed and Trnka, is a remarkable geometric object which encodes N=4 SYM amplitudes and their many formulas. I will give an introduction to the (tree-level) amplituhedron and the mathematics behind it, such as the positive Grassmannian. Time permitting, I will discuss recent developments involving the structure of the amplituhedron, such as the surprising "cluster adjacency" phenomenon.