Speaker
Description
Perturbative calculations in particle physics, gravity and string theory greatly benefit from the spaces of (elliptic) polylogarithm functions which organize iterated integrals on the sphere and the torus. This talk is dedicated to recent generalizations of polylogarithm functions to Riemann surfaces of arbitrary genus. String amplitudes and the Green functions in their conformal-field-theory description are shown to suggest natural building blocks for higher-genus polylogarithms. The resulting function spaces close under integration on the surface and thereby appear suitable for both string-amplitude and Feynman-integral computations. The subject of higher-genus polylogarithms stimulates and draws from rewarding exchange between algebraic geometry and high-energy physics.
