Mathematical Sciences Research Institute

Home » Workshop » Schedules » Unwinding The Amplituhedron

Unwinding The Amplituhedron

Geometric and topological combinatorics: Modern techniques and methods October 09, 2017 - October 13, 2017

October 12, 2017 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Hugh Thomas (Université du Québec à Montréal)
Location: MSRI: Simons Auditorium
  • amplituhedron

  • N=4 SYM

  • totally non-negative Grassmannian

  • cyclic polytope

  • scattering amplitudes

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



Arkani-Hamed and Trnka recently defined an object, which they dubbed the amplituhedron, which encodes the scattering amplitudes for planar N=4 super Yang-Mills.  This object feels polytopal, and indeed, in simple examples, it is a cyclic polytope inside projective space.  However, in general, it lives in a Grassmannian rather than in a projective space.  Amplituhedra are closely linked to the geometry of total positivity; indeed, the totally non-negative part of a Grassmannian is also an example of an amplituhedron.  I will try to explain some of what this means, and report on joint work with Arkani-Hamed and Trnka in which we give a new and simpler definition of the amplituhedron

29714?type=thumb Hugh Notes 2.08 MB application/pdf Download
29715?type=thumb Hugh Notes 2.08 MB application/pdf Download
Video/Audio Files


H.264 Video 13-Thomas.mp4 413 MB video/mp4 rtsp://videos.msri.org/data/000/029/601/original/13-Thomas.mp4 Download
Troubles with video?

Please report video problems to itsupport@msri.org.

See more of our Streaming videos on our main VMath Videos page.