3 papers
math.NT2025
A categorical formulation of the Deligne-Terasoma approach to double shuffle theory
Benjamin Enriquez, Khalef Yaddaden
In this paper, we introduce the notion of a bimodule with a factorization structure (BFS) and show that such a structure gives rise to an algebra morphism. We then prove that this…
math.AG2023
The cyclotomic double shuffle torsor in terms of Betti and de Rham coproducts
Khalef Yaddaden
To describe the double shuffle relations between multiple polylogarithm values at th roots of unity, Racinet attached to each finite cyclic group of order and each group…
math.AG2021
Crossed product interpretation of the Double Shuffle Lie algebra attached to a finite Abelian group
Khalef Yaddaden
Racinet studied the scheme associated with the double shuffle and regularization relations between multiple polylogarithm values at roots of unity and constructed a group…