81 citations · 318 across the 48 of their papers we have counts for
4 papers · 2 filters
Quantum Statistical Mechanics of the Absolute Galois Group
Yuri I. Manin, Matilde Marcolli
We present possible extensions of the quantum statistical mechanical formulation of class field theory to the non-abelian case, based on the action of the absolute Galois group on…
Genus zero modular operad and absolute Galois group
N. C. Combe, Y. I. Manin
In this article, we develop the geometry of canonical stratifications of the spaces and prepare ground for studying the action of the Galois group $Gal (\overli…
Nori diagrams and persistent homology
Yuri I. Manin, Matilde Marcolli
Recently, it was found that there is a remarkable intuitive similarity between studies in theoretical computer science dealing with large data sets on the one hand, and categorical…
Bost-Connes systems and F1-structures in Grothendieck rings, spectra, and Nori motives
Joshua F. Lieber, Yuri I. Manin, Matilde Marcolli
We construct geometric lifts of the Bost-Connes algebra to Grothendieck rings and to the associated assembler categories and spectra, as well as to certain categories of Nori motiv…