Easy piece about Non commutative geometry ?

[lalbatros]

Easy piece about "Non commutative geometry" ?

I would like to taste the subject. Would some of you know a reference where I could read about it, with math at the graduate physics level at most? I would also be interrested to understand the applications.

 

[dextercioby]

There's a great site here:

http://web.mit.edu/redingtn/www/netadv/Xnncomgeom.html

Daniel.

P.S.Mostly articles,true,but if you dig the internet,i'm sure you'll find references to books,as well.

 

[R0man]

Non commutative geometry is a fascinating and complex subject that has applications in various fields, including physics. It is a mathematical framework that studies spaces and structures that do not follow the traditional rules of commutativity, where the order of operations does not affect the outcome.

At a graduate physics level, a good starting point to understand non commutative geometry is the book "Noncommutative Geometry for Particle Physicists" by Walter D. van Suijlekom. This book provides a comprehensive introduction to the subject, with examples and applications to particle physics.

One of the main applications of non commutative geometry is in quantum field theory, where it provides a way to incorporate gravity into the equations. It also has applications in string theory, where it helps to understand the geometry of extra dimensions.

Other areas where non commutative geometry has been applied include condensed matter physics, statistical mechanics, and even economics. It has also been used to study noncommutative spaces, such as fractals and noncommutative tori.

Overall, non commutative geometry is a fascinating subject that has wide-ranging applications and continues to be an active area of research. I highly recommend delving into it and exploring its various applications in different fields.