8 citations · 50 across the 24 of their papers we have counts for
24 papers
Three arithmetic sites
Lieven Le Bruyn
Two new arithmetic sites are introduced, based on dynamical Belyi maps and Conway's big picture, respectively. We relate these to arboreal Galois representations, Bost-Connes data,…
Counting in times of fake fields
Lieven Le Bruyn
These are notes of a talk, given at the 'arithmetique en plat pays'-meeting in february 2020, on the potential uses of geometries over the fake field to zeta functio…
Virtual representation motives
Lieven Le Bruyn
Principal -bundles (aka vector bundles) are locally trivial in the Zariski topology, whereas principal -bundles (aka Azumaya algebras) are not, to the delight of every…
Motivic measures and -geometries
Lieven Le Bruyn
Right adjoints for the forgetful functors on -rings and bi-rings are applied to motivic measures and their zeta functions on the Grothendieck ring of -varieties in…
The Monstrous Moonshine Picture
Lieven Le Bruyn
We describe the finite subgraph of Conway's Big Picture required to describe all genus zero groups appearing in monstrous moonshine. We determine the local str…
The superpotential
Lieven Le Bruyn
The motivic Donaldson-Thomas series associated to an elliptic Sklyanin algebra corresponding to a point of order two differs from the conjectured series in Conjecture 3.4 of 1510.0…