Seminar series
Date
Fri, 01 Mar 2024
12:00
12:00
Location
L3
Speaker
Hadleigh Frost
Organisation
Merton College Oxford
The motivic coaction and single-valued map play an important role in our understanding of perturbative string theory. We use a new Lie-algebraic approach to give new formulas for the motivic coaction and single-valued map of multiple polylogarithms in any number of variables. The new formulas are computationally useful and give answers (if desired) directly in a fibration basis. Our key idea is to understand extensions of the braid algebra, that "encode" the appearance of multiple zeta values in the formulas. Speculatively, this idea could help to understand these important structures beyond genus zero.