What are the necessary background topics for NCG?

[ehrenfest]

What are the prerequisites to study NCG?

I know Real Analysis at the level of Rudin's "Principles of Mathematical Analysis", Complex Analysis at the level of Marsden's "Basic Complex Analysis," Topology at the level of Munkres, Algebra at the level of Fraleigh's "An Introduction to Abstract Algebra".

 

[waht]

Probably algebraic geometry, homology and cohomology as pre-pre-requisites.

You can also see some remarks about k-theory in Connes text. So I guess that's another prerequisite.

 

[ehrenfest]

OK. Guess I should wait a bit.

 

[ehrenfest]

What are the prerequisites to study Lie groups?

 

[r4nd0m]

What are the prerequisites to study Lie groups?

Lie group = group + differentiable manifold, hence knowledge in both algebra and differential geometry is needed.