600 citations
- A. Connes2 profiles12 · h 79
- A. Andreazza2 profiles8 · h 101
- A. Augustinus3 profiles8
- A. Ballestrero2 profiles8 · h 36
- A. Baroncelli2 profiles8
- A. Behrmann2 profiles8
- A. de Angelis2 profiles8
- A. De Min2 profiles8
- A. Di Simone2 profiles8
- A. Ferrer3 profiles8
- A. Hallgren3 profiles8 · h 89
- A. Lipniacka2 profiles8 · h 86
- Centre National de la Recherche ScientifiqueFR17 papers
- Sorbonne UniversitéFR14 papers
- European Organization for Nuclear ResearchCH10 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR10 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR9 papers
- Iowa State UniversityUS9 papers
- Université Paris CitéFR9 papers
- Université Paris-SudFR9 papers
- AGH University of KrakowPL8 papers
- CEA Paris-SaclayFR8 papers
- Centro Brasileiro de Pesquisas FísicasBR8 papers
- Charles UniversityCZ8 papers
Showing math.NTShow all
3 papers · 1 filter
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…
math.NT2004★ 14 cited
Renormalization and motivic Galois theory
Alain Connes, Matilde Marcolli
We investigate the nature of divergences in quantum field theory, showing that they are organized in the structure of a certain `` motivic Galois group'', which is uniquely determi…
math.NT2004★ 46 cited
From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices
Alain Connes, Matilde Marcolli
This is the first installment of a paper in three parts, where we use noncommutative geometry to study the space of commensurability classes of Q-lattices and we show that the arit…