Poincaré Conjecture
A conjecture in topology that Cal Newport suspects might be the one solved by the eccentric Russian mathematician he vaguely remembers.
Videos Mentioning Poincaré Conjecture

The Books Cal Newport Read in April 2022 | Deep Questions Podcast
Cal Newport
A conjecture in topology that Cal Newport suspects might be the one solved by the eccentric Russian mathematician he vaguely remembers.

Ep. 194: Doing Less, Building Discipline, and the Books Cal Newport Read in April | Deep Questions
Cal Newport
A conjecture in geometric topology, mentioned as potentially solved by a mathematician whose name Cal Newport couldn't recall.

Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries | Lex Fridman Podcast #190
Lex Fridman
A famous conjecture about the characterization of a three-sphere, eventually proven by Grigori Perelman.

Luís and João Batalha: Fermat's Library and the Art of Studying Papers | Lex Fridman Podcast #209
Lex Fridman
A famous topological theorem proved by Grigori Perelman, which states that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.

Scott Aaronson: Computational Complexity and Consciousness | Lex Fridman Podcast #130
Lex Fridman
One of the Millennium Prize Problems, already solved by Grigori Perelman who turned down the prize.