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 ...

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 ...

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.

We develop some examples of spectral triples in noncommutative geometry, on the theme of the noncommutative torus but with several variations.

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 ...

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 ...

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.

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 ...