Polylogarithms, Cluster Algebras, and Scattering Amplitudes

September 11, 2023 - September 15, 2023


Dani Kaufman
Copenhagen University
Herbert Gangl
Durham University
Zack Greenberg
Heidelberg University
Christian Zickert
University of Maryland

Polylogarithms have a long history going back to the 18th and 19th century where they were studied by Abel, Euler, Kummer, Lobachevsky and many others. In the 20th century deep connections to algebraic K-theory and motivic cohomology (mostly conjectural) were discovered, and in the 21st century mysterious connections with cluster algebras were observed, and so-called cluster polylogarithms started appearing in formulas for scattering amplitudes in high energy physics.

The workshop will explore both the classical theory of polylogarithms and the new connections to cluster algebras and scattering amplitudes. It will bring together experts and early career researchers with the goal of increasing our understanding of polylogarithms by combining insights from physics with the mathematical theory.