Poincaré Conjecture
theorem in geometric topology that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere
Build a research pod on Poincaré Conjecture.
7 expert discussions. Save them all to your own pod, ask any question, get cited answers.
Common Themes
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.
AI Crisis in Math: Navier-Stokes, Riemann Hypothesis & Complexity Theory | Lex Fridman Podcast #503
Lex Fridman
A famous topological conjecture, proved by Grigori Perelman, which required years of community effort to verify after he posted his papers online.
UFO Cover-Up Analyst: The Secret Alien Programs Nobody Is Talking About! | Eric Weinstein
The Diary Of A CEO
A mathematical problem that Grigori Perelman solved, mentioned to illustrate the issues within the academic community.
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.