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MA-707: Geometría no conmutativa
(2010-06-15)
Este es un seminario de pregrado, ofrecido en el I ciclo lectivo de 2010. La geometría no conmutativa es un tema activa de investigación; se trata de una introducción a esta nueva materia asequible para estudiantes de ...
MA-707: Geometría no conmutativa
(2010-06-15)
Este es un seminario de pregrado, ofrecido en el I ciclo lectivo de 2010. La geometría no conmutativa es un tema activa de investigación; se trata de una introducción a esta nueva materia asequible para estudiantes de ...
Quantum symmetry groups of noncommutative spheres
(2001-08)
We show that the noncommutative spheres of Connes and Landi are quantum homogeneous spaces for certain compact quantum groups. We give a general construction of homogeneous spaces which support noncommutative spin geometries.
Examples of noncommutative geometrical spaces
(2004-01)
We develop some examples of spectral triples in noncommutative geometry, on the theme of the noncommutative torus but with several variations.
On summability of distributions and spectral geometry
(1998-01)
Modulo the moment asymptotic expansion, the Cesàro and parametric behaviours of distributions at infinity are equivalent. On the strength of this result, we construct the asymptotic analysis for spectral densities arising ...
Commutative algebra and some results in algebraic geometry
(Pontificia Universidad Javeriana, 2019)
The interface of noncommutative geometry and physics
(2004-01)
As a mathematical theory per se, noncommutative geometry (NCG) is by now well established. From the beginning, its progress has been crucially influenced by quantum physics: we briefly review this development in recent ...
Reconstruction of manifolds in noncommutative geometry
(2008-01-31)
We show that the algebra A of a commutative unital spectral triple (A,H,D) satisfying several additional conditions, slightly stronger than those proposed by Connes, is the algebra of smooth functions on a compact spin manifold.
Fourier analysis on the affine group, quantization and noncompact Connes geometries
(2008-04)
We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of the line. A noncommutative product of functions on the half-plane, underlying a noncompact spectral triple in the sense of Connes, is obtained ...