Abstract
In a previous article [4], we developed the pioneering Grothendieck approach to the problem of description of the absolute Galois group \(\rm{Gal}(\overline{\bf{Q}}/{\bf{Q}})\) based upon dessins d’enfant. Namely, we replaced in it dessins d’enfant by graphs encoding combinatorics of strata of modular spaces of genus zero \(\overline{M}_{0,n}\), and applied this new category to the study of quantum statistic properties of the absolute Galois group. In this short paper, we enrich and further develop this approach by including in this picture the Nori motives of the strata of modular spaces following [10].
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Funding
N.C. Combe acknowledges support from the Minerva Fast track grant from the Max Planck Institute for Mathematics in the Sciences, in Leipzig. M. Marcolli acknowledges support from NSF grant DMS-1707882 and NSERC grants RGPIN-2018-04937 and RGPAS-2018-522593.
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Combe, N.C., Manin, Y.I. & Marcolli, M. Modular Nori Motives. P-Adic Num Ultrametr Anal Appl 15, 187–194 (2023). https://doi.org/10.1134/S2070046623030020
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DOI: https://doi.org/10.1134/S2070046623030020