3 papers
math.AG2025
A construction of the polylogarithm motive
Clément Dupont, Clément Dupont, Javier Fresán +1
Classical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line , which is an extension…
math.AG2024
The localization spectral sequence in the motivic setting
Clément Dupont, Daniel Juteau
We construct and study a motivic lift of a spectral sequence associated to a stratified scheme, recently discovered by Petersen in the context of mixed Hodge theory and -adic…
math.AG2024
Lauricella hypergeometric functions, unipotent fundamental groups of the punctured Riemann sphere, and their motivic coactions
Francis Brown, Clément Dupont
The goal of this paper is to raise the possibility that there exists a meaningful theory of `motives' associated to certain hypergeometric integrals, viewed as functions of their p…