#grigoriperelman — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #grigoriperelman, aggregated by home.social.
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Difficulty of proving the Generalized Poincaré Conjecture as a function of dimension:
n=1: Trivial
n=2: Easy (19th century)
n=3: Perelman (2003), declined Fields Medal
n=4: Freedman (1982), won Fields Medal
n≥5: Smale (1961), won Fields Medal
The difficulty of the generalized Poincaré conjecture is non-monotonic in dimension!
#Poincaré #PoincaréConjecture #Perelman #FieldsMedal #Geometry #MillenniumPrize #GrigoriPerelman #HenriPoincaré #Freedman #Smale #Conjecture
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#TerenceTao on #GrigoriPerelman solving #PoincareConjecture | Lex Fridman Podcast Clips #yt #math #fieldsmedal
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#GrigoriPerelman 🇷🇺 proved the #PoincaréConjecture 20 years ago, which was one of the 7 #milleniumproblems in #mathematics. 🧮 He declined a series of awards though, incl. the #FieldsMedal. 🥇
The Poincaré conjecture is "a central problem both in maths and physics because it seeks to understand what the shape of the universe can be," said
Marcus du Sautoy
at
University of Oxford
(In: https://theguardian.com/science/2006/aug/16/russia.highereducation).