58 citations · 233 across the 27 of their papers we have counts for
4 papers · 1 filter
Feynman integrals and motives
Matilde Marcolli
This article gives an overview of recent results on the relation between quantum field theory and motives, with an emphasis on two different approaches: a "bottom-up" approach base…
Coverings, correspondences, and noncommutative geometry
Matilde Marcolli, Ahmad Zainy al-Yasry
We construct an additive category where objects are embedded graphs in the 3-sphere and morphisms are geometric correspondences given by 3-manifolds realized in different ways as b…
Motivic renormalization and singularities
Matilde Marcolli
We consider parametric Feynman integrals and their dimensional regularization from the point of view of differential forms on hypersurface complements and the approach to mixed Hod…
Modular curves, C* algebras, and chaotic cosmology
Matilde Marcolli
We make some brief remarks on the relation of the mixmaster universe model of chaotic cosmology to the geometry of modular curves and to noncommutative geometry. In particular we c…