activity
19982008
most citedFrom Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory

58 citations · 143 across the 15 of their papers we have counts for

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Showing 2007Show all

2 papers · 1 filter

math.QA2007

Solvmanifolds and noncommutative tori with real multiplication

Matilde Marcolli

We prove that the Shimizu L-function of a real quadratic field is obtained from a (Lorentzian) spectral triple on a noncommutative torus with real multiplication, as an adiabatic l…

math.NT2007★ 1 cited

The Weil proof and the geometry of the adeles class space

Alain Connes, Caterina Consani, Matilde Marcolli

This paper explores analogies between the Weil proof of the Riemann hypothesis for function fields and the geometry of the adeles class space, which is the noncommutative space und…