Workshop


26 Aug, 2024 - 27 Sep, 2024

Mathematical Structures in Scattering Amplitudes

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 organizers

Giordano Cintia (GGI)

Contact

l.ferro@herts.ac.uk

Website:

Related events
Poster session

The participants who would like to present a poster are kindly invited to send an email with the title and a short abstract to alice.bernamonti@unifuit before May 22, specifying for which week of the workshop. Since a limited number of panels is available, the organizers will select the posters shortly after the deadline.

week 3

Monday Tuesday Wednesday Thursday Friday
11:30 - 12:30 Tomasevic Newenfeld Collin-Ellerin Caceres
13:00 - 14:30 lunch lunch lunch lunch lunch
14:30 - 15:30 Sorce Emparan
  • Elena Caceres: 'On Sparse SYK, wormholes, and chaos"
  • Sean Colin-Ellerin: "Bootstrapping wuantum extremal surfaces
  • Roberto Emparan: "Black tsunamis and naked singularities in AdS'
  • Dominik Neuenfeld: "Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates"
  • Jonathan Sorce: "Bulk causality from boundary entanglement: the connected wedge theorem revisited"
  • Marija Tomasevic: 'ds through holography

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Talks
Date Speaker Title Type Useful Links
02 Sep, 2024 - 14:30-15:00 Welcome Meeting Discussion
03 Sep, 2024 - 10:30-12:00 Jonah Stalknecht ABJM integrands from light-cone geometries in Minkowski space Seminar
04 Sep, 2024 - 10:30-12:00 Lorenzo Magnea IBPs and differential equations in parameter space Seminar
05 Sep, 2024 - 10:30-12:00 Alexander Ochirov From massive higher spins to Kerr black holes Seminar
09 Sep, 2024 - 14:30-15:00 Welcome Meeting Discussion
10 Sep, 2024 - 10:30-12:00 Andrew McLeod Diagnosing Steinmann Violation using Minimal Cuts Seminar
11 Sep, 2024 - 10:30-12:00 Gabriele Dian Topology of the 2-loop amplituhedron Seminar
12 Sep, 2024 - 14:30-16:00 Georgios Papathanasiou Landau Singularities from Whitney Stratifications Seminar
16 Sep, 2024 - 12:30-13:30 Lunch Lunch
17 Sep, 2024 - 10:30-12:00 Radu Roiban Theoretical structures in classical scattering amplitudes and observables Seminar
17 Sep, 2024 - 12:30-13:30 Lunch Lunch
18 Sep, 2024 - 10:30-12:00 Jaroslav Trnka Resummation of negative geometries Seminar
18 Sep, 2024 - 12:30-13:30 Lunch Lunch
19 Sep, 2024 - 10:30-12:00 Zvi Bern Global Bases for Nonplanar Loop Integrands, Generalized Unitarity, and the Double Copy to All Loop Orders. Seminar
19 Sep, 2024 - 12:30-13:30 Lunch Lunch
20 Sep, 2024 - 12:30-13:30 Lunch Lunch
24 Sep, 2024 - 10:30-12:00 Zhengwen Liu Effective Field Theory for Gravitational Inspiral Dynamics Seminar
25 Sep, 2024 - 10:30-12:00 Stephan Stieberger Celestial and Carrollian Amplitudes and Celestial Liouville Theory Seminar
26 Sep, 2024 - 10:30-12:00 Henrik Johansson Two-loop N = 1 SYM Amplitudes via SUSY Decomposition and Massive Spinor-Helicity Seminar
Materials