New Geometric Structures in Scattering Amplitudes

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, Marcus Spradlin, Andy Strominger, Anastasia Volovich, Pedro Vieira, Pierre Vanhove, Lauren Williams.