Poincare Conjecture and Elliptization Conjecture

1. Poincare Conjecture

2. Thurston Elliptization Conjecture

3. History
• 1961, Stephen Smale, $n>4$;
• 1982
• 　Michael Freedman, $n=4$;
• 　William Thurston, Geometrization conjecture;
• 　Richard Hamilton, Ricci flow method;
• 　2006, Grisha Perelman, proved Geometrization conjecture.
4. Papers of Perelman
• The entropy formula for the Ricci flow and its geometric applications
• Ricci flow with surgery on three-manifolds
• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds