Cluster Algebras and the Geometry of Scattering Amplitudes

Abstract

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. Confirmed speakers include:

  • Nima Arkani-Hamed

  • Jacob Bourjaily

  • Steven Charlton

  • James Drummond

  • Anna Felikson

  • Vladimir Fock

  • Mikhail Gekhtman

  • Johannes Henn

  • Diane Maclagan

  • Georgios Papathanasiou

  • Marcus Spradlin

  • Cristian Vergu

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


Timetable

See the full timetable on Indico

Attendees

The following have registered to attend this workshop:

First NameLast NameAffiliation
Andrew McLeod Niels Bohr Institute
Atul Sharma University of Oxford
Berta Hudak Okinawa Institute of Science and Technology
David Damgaard LMU Munich
Einan Gardi The University of Edinburgh
Giulio Salvatori Brown University
Jianrong Li University of Graz
Livia Ferro LMU Munich & Univ. of Hertfordshire
Niamh Maher University of Edinburgh
Ömer Gürdoğan University of Oxford
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Cluster Algebras and the Geometry of Scattering Amplitudes

Higgs Centre Workshop
Higgs Centre for Theoretical Physics