Mathematical Aspects of N=4 Super-Yang-Mills Theory: February 26-March 1, 2024

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Organized by:

  • Benjamin Basso (Ecole Normale Superieure)
  • Lance Dixon (SLAC/Stanford U.)
  • Jaroslav Trnka (UC Davis)
  • Anastasia Volovich (Brown)

Scattering Amplitudes in N=4 Super-Yang-Mills theory have a rich mathematical structure, involving Grassmannians and polytopes, the amplituhedron, tropicalization, cluster algebras, Hopf algebras, motivic zeta values, multiple polylogarithms and Galois theory, elliptic polylogarithms and Calabi-Yau geometries, and Y systems.  These structures are all required to describe aspects of either the weak or strong coupling expansions of amplitudes; describing amplitudes at finite coupling may require even further mathematical developments. This workshop will bring mathematicians and physicists together, in order to explore how known mathematical structures enter N=4 scattering, and to discover what new structures may be just around the corner.

This workshop is associated with the program Solving N=4 super-Yang-Mills theory via Scattering Amplitudes: January 8, 2024 – March 8, 2024