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}} }
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.