Zobrazeno 1 - 10
of 261
pro vyhledávání: '"Alain Connes"'
Autor:
Alain Connes, Caterina Consani
Publikováno v:
Cyclic Cohomology at 40: Achievements and Future Prospects. :83-101
Autor:
Caterina Consani, Alain Connes
Publikováno v:
Journal of Number Theory. 226:139-167
We introduce the notion of quasi-inner function and show that the product u = ρ ∞ ∏ ρ v of m + 1 ratios of local L-factors ρ v ( z ) = γ v ( z ) / γ v ( 1 − z ) over a finite set F of places of Q inclusive of the archimedean place is quasi
Publikováno v:
Oberwolfach Reports. 17:919-960
We give an overview of the applications of noncommutative geometry to physics. Our focus is entirely on the conceptual ideas, rather than on the underlying technicalities. Starting historically from the Heisenberg relations, we will explain how in ge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfdefa5b69a10ac899da9e8bd814f984
http://arxiv.org/abs/2207.10901
http://arxiv.org/abs/2207.10901
Autor:
Alain Connes, Henri Moscovici
Publikováno v:
Proceedings of the National Academy of Sciences. 119
Significance We show that the eigenvalues of the self-adjoint extension (introduced by A.C. in 1998) of the prolate spheroidal operator reproduce the UV behavior of the squares of zeros of the Riemann zeta function, and we construct an isospectral fa
Autor:
Caterina Consani, Alain Connes
Publikováno v:
The Quarterly Journal of Mathematics. 72:1-29
Segal’s Γ-rings provide a natural framework for absolute algebraic geometry. We use G. Almkvist’s global Witt construction to explore the relation with J. Borger ${\mathbb F}_1$-geometry and compute the Witt functor-ring ${\mathbb W}_0({\mathbb
Autor:
Walter D. van Suijlekom, Alain Connes
Publikováno v:
Commun.Math.Phys.
Commun.Math.Phys., 2021, 383 (3), pp.2021-2067. ⟨10.1007/s00220-020-03825-x⟩
Communications in Mathematical Physics, 383, 2021-2067
Communications in Mathematical Physics, 383, 3, pp. 2021-2067
Commun.Math.Phys., 2021, 383 (3), pp.2021-2067. ⟨10.1007/s00220-020-03825-x⟩
Communications in Mathematical Physics, 383, 2021-2067
Communications in Mathematical Physics, 383, 3, pp. 2021-2067
In this paper we extend the traditional framework of noncommutative geometry in order to deal with spectral truncations of geometric spaces (i.e. imposing an ultraviolet cutoff in momentum space) and with tolerance relations which provide a coarse gr
Publikováno v:
Commun.Math.Phys.
Commun.Math.Phys., 2019, 373 (2), pp.457-471. ⟨10.1007/s00220-019-03297-8⟩
Communications in Mathematical Physics, 373, 2, pp. 457-471
Communications in Mathematical Physics, 373, 457-471
Commun.Math.Phys., 2019, 373 (2), pp.457-471. ⟨10.1007/s00220-019-03297-8⟩
Communications in Mathematical Physics, 373, 2, pp. 457-471
Communications in Mathematical Physics, 373, 457-471
We compute the information theoretic von Neumann entropy of the state associated to the fermionic second quantization of a spectral triple. We show that this entropy is given by the spectral action of the spectral triple for a specific universal func
Publikováno v:
Nature. 601(7892)
Autor:
Alain Connes, Caterina Consani
We give a historical perspective on the role of the cyclic category in the development of cyclic theory. This involves a continuous interplay between the extension in characteristic one and in S-algebras, of the traditional development of cyclic theo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::812fe046248e4acdac31182b233b75f7