Logo

Geometric Models for Noncommutative Algebra

Geometric Models for Noncommutative Algebra
by

Publisher: University of California at Berkeley
Number of pages: 194

Description:
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. In this book, we discuss several types of geometric objects which are closely related to noncommutative algebras.

Home page url

Download or read it online for free here:
Download link
(3.3MB, PDF)

Similar books

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.
(4169 views)
Book cover: Surveys in Noncommutative GeometrySurveys in Noncommutative Geometry
by - American Mathematical Society
These lectures are 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, residue index theorem, etc.
(7566 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.
(6939 views)
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.
(9787 views)