What is the Poincaré Conjecture about?

In the following videos, you will find a simple explanation of the mathematical vocabulary needed to understand the Poincaré Conjecture Millennium Prize Problem. You will learn the meaning of words such as homeomorphism, compact, and simply connected. You will also get to know the history behind the famous mathematical conjecture.

How was the Poincaré Conjecture solved?

The videos below describe the tools used to understand and solve the problem. They explain the mathematical concepts of metric tensor and curvature, together with the most important tool that helped solve the conjecture: the Ricci Flow.