Logo

Surveys in Noncommutative Geometry

Large book cover: Surveys in Noncommutative Geometry

Surveys in Noncommutative Geometry
by

Publisher: American Mathematical Society
ISBN/ASIN: 0821838466
ISBN-13: 9780821838464
Number of pages: 208

Description:
The series of expository lectures intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject. Topics: applications of noncommutative geometry to problems in ordinary geometry and topology, Riemann hypothesis and the possible application of the methods of noncommutative geometry in number theory, residue index theorem of Connes and Moscovici, etc.

Home page url

Download or read it online for free here:
Download link
(1.8MB, PDF)

Similar books

Book cover: Noncommutative Geometry, Quantum Fields and MotivesNoncommutative Geometry, Quantum Fields and Motives
by - American Mathematical Society
The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role.
(7060 views)
Book cover: Homological Methods in Noncommutative GeometryHomological Methods in Noncommutative Geometry
by
The first seven lectures deal with the homological part of the story (cyclic homology, its various definitions, various additional structures it possesses). Then there are four lectures centered around Hochschild cohomology and the formality theorem.
(4694 views)
Book cover: Deformations of Algebras in Noncommutative GeometryDeformations of Algebras in Noncommutative Geometry
by - arXiv
In these notes, we give an example-motivated review of the deformation theory of associative algebras in terms of the Hochschild cochain complex as well as quantization of Poisson structures, and Kontsevich's formality theorem in the smooth setting.
(2125 views)
Book cover: Geometric Models for Noncommutative AlgebraGeometric Models for Noncommutative Algebra
by - University of California at Berkeley
Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, like the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces.
(5193 views)