On the Poincare conjecture, Ricci flow and all that

This set of notes contains some things I found interesting about the Poincare conjecture. I must say that I am not an expert, due to which I am not sure when or if at all these notes will be complete. However, this is a very fascinating subject, and I have written these for the sake of capturing some results I found, that discuss some of the more nontrivial aspects of the then Poincare conjecture.

Introduction to the Poincare conjecture and Ricci flow

In this lecture, I will provide a rather informal outlook of the statement of the Poincar´e conjecture – informal in the sense that while I could speak from a topological or PDE perspective, I will stick with a very naive outlook of Ricci flow and the Poincare conjecture. files/Poincare-lect-1

Poincare conjecture and the h-cobordism theorem

In this lecture, we will look at the h-cobordism theorem and some examples of where it is significant, particularly in understanding the Poincare conjecture. files/Poincare-lect-2

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