C. Consani

activity

19982026

most citedHomological algebra in characteristic one

12 citations · 46 across the 24 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.NT2020

Quasi-inner functions and local factors

Alain Connes, Caterina Consani

We introduce the notion of {\it quasi-inner} function and show that the product $u = ρ_{\infty} \prod ρ_{v}$ of $m + 1$ ratios of local { $L$ -}factors { $ρ_{v} (z) = γ_{v} (z) / γ_{v} (1 - z)$ } over a finit…

math.NT2020

Weil positivity and Trace formula, the archimedean place

Alain Connes, Caterina Consani

We provide a potential conceptual reason for the positivity of the Weil functional using the Hilbert space framework of the semi-local trace formula of the paper "Trace formula in…

math.AG2020

Segal's Gamma rings and universal arithmetic

Alain Connes, Caterina Consani

Segal's Gamma-rings provide a natural framework for absolute algebraic geometry. We use Almkvist's global Witt construction to explore the relation with J. Borger F1-geometry and c…