Cluster Algebras and the Geometry of Scattering Amplitudes

UTC
Higgs Centre Seminar Room

Higgs Centre Seminar Room

JCMB, Kings Buildings
Description

The aim of this meeting is to bring together physicists and mathematicians who are interested in the connections between cluster algebras and the geometry of scattering amplitudes. This is intended to facilitate increased interaction and collaboration between these fields, and to provide an avenue for the articulation of interesting and concrete mathematical problems whose resolutions promise to lead to novel physical insights and combinatorial methods. Specific topics to be discussed include:

  • the positive grassmannian
  • cluster adjacency

  • cluster polylogarithms

  • tropical grassmannians

  • cluster polytopes

  • the analytic structure and kinematic geometry of nonplanar amplitudes

  • geometric aspects of worse-than-polylogarithmic amplitudes

In particular, it is hoped that the program will stimulate new ideas for how cluster-algebraic techniques can be used to understand the analytic structure of scattering amplitudes beyond the polylogarithmic sector of planar N=4 super-Yang-Mills theory. Please click on speakers' names to view their talks:

 

Accommodation

 

Please follow this link to view available B&Bs and guesthouses close to the Kings Building Campus and the James Clerk Maxwell Building. Please inquire about academic rates. Further information on the venue can be found here.

Organisers

  • Herbert Gangl 

  • Einan Gardi

  • Ömer Gurdogan

  • Andrew McLeod

Advisory Committee

  • Jacob Bourjaily 
  • Marcus Spradlin
  • Anastasia Volovich

 

Participants
  • Alasdair Ross
  • Alfredo Guevara
  • Andrew McLeod
  • Anna Felikson
  • Aris Ioannou
  • Atul Sharma
  • Ben Maybee
  • Berta Hudak
  • Calum Milloy
  • Chrysostomos Kalousios
  • Connor Armstrong
  • Cristian Vergu
  • Damian Wierzbicki
  • Dani Kaufman
  • David Damgaard
  • David Dunbar
  • Dominik Rist
  • Donal O’Connell
  • Einan Gardi
  • Emmet Byrne
  • Gabriele Dian
  • Georgios Papathanasiou
  • Giulia Albonico
  • Giulio Salvatori
  • Harry Braden
  • Herbert Gangl
  • Jack Foster
  • Jacob Bourjaily
  • James Drummond
  • Johannes Henn
  • Lionel Mason
  • Livia Ferro
  • Marcus Spradlin
  • Maryam Noorbakhsh
  • Matteo Parisi
  • Matteo Sergola
  • Michael Gekhtman
  • Niamh Maher
  • Nicholas Early
  • Niklas Henke
  • Nima Arkani-Hamed
  • Sandipan Bhattacherjee
  • Steven Charlton
  • Suvadeep Roy
  • Tom Lenagan
  • Tomasz Lukowski
  • Zachary Greenberg
  • Ömer Gürdoğan
    • 09:00 10:00
      Jacob Bourjaily - Stratifying On-Shell Cluster Varieties 1h
    • 10:00 11:00
      Coffee 1h
    • 11:00 12:00
      Anna Felikson - Quiver mutations, reflection groups and curves on punctured disc 1h
    • 12:00 13:30
      Lunch 1h 30m
    • 13:30 14:30
      Marcus Spradlin - Cluster Algebras and SYM Theory 1h
    • 14:30 15:30
      Coffee 1h
    • 15:30 16:30
      Mikhail Gekhtman - Periodic staircase matrices and generalized cluster algebras 1h
    • 09:00 10:00
      James Drummond - Cluster algebras, tropical Grassmannians and Amplitudes 1h
    • 10:00 11:00
      Coffee 1h
    • 11:00 12:00
      Nick Early - From matroid subdivisions of hypersimplices to generalized Feynman diagrams 1h
    • 12:00 13:30
      Lunch 1h 30m
    • 13:30 14:30
      Georgios Papathanasiou - How tropical are scattering amplitudes? 1h
    • 14:30 15:30
      Coffee 1h
    • 15:30 16:30
      Tomasz Lukowski - From amplituhedron to positive tropical Grassmannian via hypersimplex 1h
    • 09:00 10:00
      Johannes Henn - A simple algorithm for finding canonical differential equations for Feynman integrals 1h
    • 10:00 11:00
      Coffee 1h
    • 11:00 12:00
      Cristian Vergu - Progress in N=4 scattering amplitudes computations 1h
    • 12:00 13:30
      Lunch 1h 30m
    • 13:30 14:30
      Steven Charlton - Cluster Polylogarithms 1h
    • 14:30 15:30
      Coffee 1h
    • 15:30 16:30
      Nima Arkani-Hamed 1h
Your browser is out of date!

Update your browser to view this website correctly. Update my browser now

×