Khalef Yaddaden

I am a JSPS Postdoctoral Research fellow in the Graduate School of Mathematics of Nagoya University (Japan) under Professor Hidekazu Furusho.

I did my Ph.D. in mathematics at the University of Strasbourg (France) under the supervision of Professor Benjamin Enriquez.

I am interested in various aspects of multiple zeta values, their cyclotomic analogues the multiple polylogarithm values at roots of unity and their connections to associators and Grothendieck-Teïchmuller theory.

Upcoming events

Dec 07, 2024	Kansai Multiple Zeta Research Group at Tohoku University.
Feb 10, 2025	Lectures on multiple zeta values and beyond at Kyushu University.
Feb 17, 2025	Modular Forms and Multiple Zeta Values at Kindai University.
Mar 05, 2025	Speaker for the Colloque tournant du RT algèbre at University of Clermont Auvergne.

Selected publications

The cyclotomic double shuffle torsor in terms of Betti and de Rham coproducts

K. Yaddaden

Journal of Pure and Applied Algebra, 2024

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We prove a cyclotomic generalization of Enriquez and Furusho’s result stating that the scheme of double shuffle and regularization relations between multiple zeta values arising from Racinet’s formalism is a torsor of isomorphisms between “Betti” and “de Rham” objects. After reviewing the “de Rham” objects arising from a crossed product interpretation of Racinet’s formalism, we construct the “Betti” objects based on an orbifold fundamental group. We then show that the scheme of double shuffle and regularization relations is a subtorsor of stabilizer schemes relating “Betti” and “de Rham” coproducts.
@article{yad2, title = {The cyclotomic double shuffle torsor in terms of Betti and de Rham coproducts}, author = {Yaddaden, K.}, journal = {Journal of Pure and Applied Algebra}, volume = {228}, number = {5}, pages = {107550}, year = {2024}, issn = {0022-4049}, doi = {https://doi.org/10.1016/j.jpaa.2023.107550}, url = {https://www.sciencedirect.com/science/article/pii/S0022404923002323}, }