### Workshop

#### Mathematical Structures in Scattering Amplitudes

**Aug 26, 2024 - Sep 27, 2024**

**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 |