Grigori Perelman's Resolution of the Century-Old Poincaré Conjecture and Its Impact on Topology

Discover how Grigori Perelman solved the 100-year-old Poincaré Conjecture, one of mathematics' toughest problems. Learn about this genius Russian mathematician, his groundbreaking proof in topology, and why he refused the $1 million prize. Explore the significance of the Poincaré Conjecture, its connection to 3D spheres, and how it reshaped the understanding of shapes and spaces in mathematics. Keywords: Grigori Perelman, Poincaré Conjecture, solved math problem, toughest math problem, topology breakthrough, refused $1 million prize, 3D sphere, history of mathematics.