22 citations · 22 across the 16 of their papers we have counts for
6 papers · 1 filter
The Infinite Sphere and Galois Belyi maps
Noémie C. Combe
We show that the space of Belyi maps admits a natural parametrization by an infinite-dimensional sphere arising from Voiculescu's theory of noncommutative probability spaces. We sh…
Proving the Grothendieck--Teichmüller Conjecture for Profinite Spaces & The Galois Grothendieck Path Integral
Noémie C. Combe
We establish that the Grothendieck-Teichmuller conjecture, which predicts an isomorphism between the Grothendieck-Teichmuller group GT and the absolute Galois group of rational num…
Maximum Likelihood, permutohedra and Associativity Equations
Noémie C. Combe
We consider the cone of concentration matrices related to linear concentration models and Wishart laws. We prove that this cone is a Monge--Ampère domain and that the log-likelihoo…
Landau-Ginzburg models, Monge-Ampère domains and (pre-)Frobenius manifolds
Noémie C. Combe
Kontsevich suggested that the Landau-Ginzburg model presents a good formalism for homological mirror symmetry. In this paper we propose to investigate the LG theory from the viewpo…
On Frobenius structures in symmetric cones
Noemie C. Combe
We prove that in any strictly convex symmetric cone there exists a non empty locus where the WDVV equation is satisfied (i.e. there exists a hyperplane being a Frobenius manifo…
Manin conjecture for statistical pre-Frobenius manifolds, hypercube relations and motivic Galois group in coding
N. C. Combe
This article develops, via the perspective of (arithmetic) algebraic geometry and category theory, different aspects of geometry of information. First, we describe in the terms of…