Abstract
Scattering amplitudes describe the interactions between elementary particles and are at the heart of theoretical predictions for cross-sections measured at high-energy colliders. They also provide the driving force for theoretical developments in field and string theory. Recent years have shown an abundance of novel mathematical structures underlying scattering amplitudes. With links to cluster algebras, positive geometries, twistor theory and other modern methods in mathematics, the computation and understanding of perturbative amplitudes have revealed deep interconnections with algebraic geometry, combinatorics and number theory. This program aims to bring together experts from both theoretical physics and mathematics, to advance our understanding of the mathematical structures of scattering amplitudes, develop future directions of research and enhance our knowledge of field and string theory.

Topics
- Algebraic geometry for Feynman and string integrals
- Amplituhedra, grassmannians and positive geometry
- Celestial and twisted holography
- Cluster algebras, symbols calculus and associated bootstraps
- Double copy and color/kinematic duality
- Conventional holography and integrability methods
- Twistor and ambitwistor-strings, sigma models and actions

Organizers
N. Arkani-Hamed (Institute for Advanced Study, USA)
R. Britto (Trinity College Dublin, Ireland)
L. Ferro (University of Hertfordshire, UK)
T. Lukowski (University of Hertfordshire, UK)
L. Mason (University of Oxford, UK)
M. Spradlin (Brown University, USA)

Local organizer
Giordano Cintia (GGI)

Contact
l.ferro@herts.ac.uk

Related events
The Mathematics behind Scattering Amplitudes (Conference) - Aug 26, 2024






Talks

Date	Speaker	Title	Type	Useful Links
Sep 02, 2024 - 14:30-15:00		Welcome Meeting	Discussion
Sep 03, 2024 - 10:30-12:00	Jonah Stalknecht	ABJM integrands from light-cone geometries in Minkowski space	Seminar					Video
Sep 04, 2024 - 10:30-12:00	Lorenzo Magnea	IBPs and differential equations in parameter space	Seminar					Video
Sep 05, 2024 - 10:30-12:00	Alexander Ochirov	From massive higher spins to Kerr black holes	Seminar					Video
Sep 09, 2024 - 14:30-15:00		Welcome Meeting	Discussion
Sep 10, 2024 - 10:30-12:00	Andrew McLeod	Diagnosing Steinmann Violation using Minimal Cuts	Seminar					Video
Sep 11, 2024 - 10:30-12:00	Gabriele Dian	Topology of the 2-loop amplituhedron	Seminar					Video
Sep 12, 2024 - 14:30-16:00	Georgios Papathanasiou	Landau Singularities from Whitney Stratifications	Seminar					Video
Sep 17, 2024 - 10:30-12:00	Radu Roiban	Theoretical structures in classical scattering amplitudes and observables	Seminar					Video
Sep 18, 2024 - 10:30-12:00	Jaroslav Trnka	Resummation of negative geometries	Seminar					Video
Sep 19, 2024 - 10:30-12:00	Zvi Bern	Global Bases for Nonplanar Loop Integrands, Generalized Unitarity, and the Double Copy to All Loop Orders.	Seminar
Sep 24, 2024 - 10:30-12:00	Zhengwen Liu	Effective Field Theory for Gravitational Inspiral Dynamics	Seminar
Sep 25, 2024 - 10:30-12:00	Stephan Stieberger	Celestial and Carrollian Amplitudes and Celestial Liouville Theory	Seminar
Sep 26, 2024 - 10:30-12:00	Henrik Johansson	TBA	Seminar