Publisher: American Mathematical Society (October 25, 2011)
Format: PDF / Kindle / ePub
Size: 6.4 MB
Downloadable formats: PDF
This quantity represents the complaints of the Noncommutative Geometry Workshop that used to be held as a part of the thematic software on operator algebras on the Fields Institute in may perhaps 2008. Pioneered by way of Alain Connes beginning within the past due Nineteen Seventies, noncommutative geometry used to be initially encouraged by means of worldwide research, topology, operator algebras, and quantum physics. Its major purposes have been to settle a few long-standing conjectures, equivalent to the Novikov conjecture and the Baum-Connes conjecture. subsequent got here the effect of spectral geometry and how the spectrum of a geometrical operator, just like the Laplacian, holds information regarding the geometry and topology of a manifold, as within the celebrated Weyl legislations. This has now been tremendously generalized via Connes' suggestion of spectral triples. eventually, contemporary years have witnessed the effect of quantity idea, algebraic geometry and the speculation of causes, and quantum box thought on noncommutative geometry. just about all of those facets are touched upon with new leads to the papers of this quantity. This publication is meant for graduate scholars and researchers in either arithmetic and theoretical physics who're attracted to noncommutative geometry and its functions. Titles during this sequence are co-published with the Fields Institute for learn in Mathematical Sciences (Toronto, Ontario, Canada).