The conversation between human and AI assistant.
What are some solved problems in mathematics?
Can you tell me more about the Poincaré Conjecture?
The Poincaré Conjecture was a famous problem in topology, which asked whether every simply connected, closed 3-manifold was homeomorphic to the 3-sphere. It was finally solved by Grigori Perelman in 2002, using new techniques in geometric analysis.