New geometric structures in scattering amplitudes

In collaboration with the Clay Mathematics Institute and the EPSRC, Clay website.

Oxford, 22-25 September 2014

Recently, remarkable mathematical structures have emerged in the study of scattering amplitudes, revealing deep links to algebraic geometry, arithmetic and combinatorics. There have been many exciting dual representations of amplitudes including

  • polytopes, twistor diagrams and the positive grassmannian leading to the concept of the `amplituhedron,

  • polylogs, multizeta values and multiloop integrals,

  • Wilson loops and correlation functions, leading to hidden symmetries and integrability,

  • holomorphic strings in twistor and ambitwistor spaces,
  • asymptopia, holography and the BMS group.

Each of these disparate ideas and methods have their own remarkable successes, and indeed have led to important progress in related areas of mathematics. They also face obstacles that they need to overcome in order to become important tools in resolving the most important open conjectures in the field and for the explicit construction of amplitudes.  This workshop will bring together experts in the various strands in order to establish and consolidate their connections, to overcome the various obstacles. This will also be an opportunity to celebrate the work of Andrew Hodges on his 65th birthday.

Speakers: Nima Arkani-Hamed, Nathan Berkovits, Francis Brown, Freddy Cachazo, James Drummond, Michael Green, Paul Heslop, Andrew Hodges, Andy Strominger, Anastasia Volovich, Pedro Vieira, Pierre Vanhove, Lauren Williams.

Participants: Timothy Adamo, Fernando Alday, Benjamin Basso, Jake Bourjailly, Eduardo Casali, Louise Dolan, Peter Goddard, Song He, Yutin Huang, Allen Knutson, Andrei Kormilitizin, Kirill Krasnov, Arthur Lipstein, Tomek Lukowski, Carlos Mafra, Roger Penrose, Ron Reid-Edwards, Oliver Schlotterer, Amit Sever, Emery Sokatchev, Jaroslav Trnka.

Location: The meeting will take place at the Mathematical Institute of the University of Oxford. See this map for the location of our new Andrew Wiles Building.

Accommodation: Accommodation will be provided at St Peter's College.

Organisers: Nima Arkani-Hamed (IAS Princeton), Andrew Hodges (Oxford), Lionel Mason (Oxford), Roger Penrose (Oxford), David Skinner (DAMTP, Cambridge). 

Enquiries:  lmason [-at-] maths [dot] ox [dot] ac [dot] uk (Lionel Mason), monteiro [-at-] maths [dot] ox [dot] ac [dot] uk (Ricardo Monteiro), preston [-at-] maths [dot] ox [dot] ac [dot] uk (Ruth Preston).