An Invitation to Noncommutative Geometry
Dr. Partha Sarathi Chakraborty
Institute of Mathematical Sciences, Chennai.
The subject of Noncommutative Geometry tries to understand mathematical structures via operator algebras. One first attaches an algebra of operators to the mathematical structure he/she is willing to investigate and then analyzes the algebra using the tools like Cyclic cohomology, KK-theory. We will see an example of this kind of analysis in the context of foliations. More precisely I'll describe the operator algebra associated with a foliation. After that if time permits I'll describe the local index formula of Connes and Moscovici.