152 citations · 1.1k across the 33 of their papers we have counts for
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The Scaling Hamiltonian
Alain Connes, Caterina Consani
We first explain the link between the Berry-Keating Hamiltonian and the spectral realization of zeros of the Riemann zeta function of the first author, and why there is no conflict…
Noncommutative Geometry, the spectral standpoint
Alain Connes
We report on the following highlights from among the many discoveries made in Noncommutative Geometry since year 2000: 1) The interplay of the geometry with the modular theory for…
Sir Michael Atiyah, a Knight Mathematician A tribute to Michael Atiyah, an inspiration and a friend
Alain Connes, Joseph Kouneiher
Sir Michael Atiyah was considered as one of the world's foremost mathematicians, He is best known for his work in algebraic topology and the co-development of a branch of mathemati…
On Absolute Algebraic Geometry, the affine case
Alain Connes, Caterina Consani
We develop algebraic geometry for general Segal's Gamma-rings and show that this new theory unifies two approaches we had considered earlier on (for a geometry under Spec Z). The s…
and the Gromov norm
Alain Connes, Caterina Consani
We define the homology of a simplicial set with coefficients in a Segal's -set (-module). We show the relevance of this new homology with values in -module…
On an idea of Michael Atiyah
Alain Connes
In this note we investigate the idea of Michael Atiyah of using, as a possible approach to the Theorem of Feit-Thompson on the solvability of finite groups of odd order, the iterat…