Speaker
Martijn Hidding
(Uppsala Univeristy)
Description
I will review the types of special functions appearing in Feynman integrals and string amplitudes, and show how multiple polylogarithms (MPLs) and elliptic multiple polylogarithms (eMPLs) appear in both contexts. Next, I will present new work on elliptic modular graph forms (eMGFs), which appear in closed genus-one string amplitudes. These functions can be loosely thought of as single-valued versions of eMPLs. I will illustrate how eMGFs can be studied in the language of iterated integrals, and that many computational techniques are similar from the land of Feynman integrals. Finally, I will compare analytic methods for the computation of Feynman integrals with numerical methods, and touch on some recent developments in the latter area.
Primary author
Martijn Hidding
(Uppsala Univeristy)
