Talk:Grigori Perelman

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Grigori Perelman
We need more reference on Grigori Perelman — Preceding unsigned comment added by 37.231.107.182 (talk) 14:44, 17 March 2016 (UTC)
 * Possibly give us more detail as to what you want. — Preceding unsigned comment added by 81.141.118.198 (talk) 03:09, 24 September 2017 (UTC)

External links modified
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 * Added archive https://web.archive.org/web/20140705132527/http://www.claymath.org/millenium-problems/poincar%C3%A9-conjecture to http://www.claymath.org/millenium-problems/poincar%C3%A9-conjecture
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Soul conjecture
Apparently, Grigori Perelman achieved a breakthrough with the soul conjecture. After reading the section on it, I am none the wiser. It would be great if some wikipedians understanding what Perelman's contribution was could provide a bit of background, and explain what exactly Perelman did. At least enough so that people interested can start to did. As it is, I do not think anyone except people working in the super narrow field at a research level can get anything. Nicolas Le Novère (talk) 22:11, 8 December 2018 (UTC)
 * None of this is arcane or overspecialized. Differential geometry is a standard part of the college-level undergraduate curriculum for mathematics degrees; the problem at hand being one of a series of partial results seeking to classify objects of a given type (here: manifolds and, more specifically, Riemannian manifolds). Wouldn't you be seeking answers yourself by simply doing research on the matter (e.g. applications or or motivations for the Soul Theorem, classification of (Riemannian) manifolds, classification of compact manifolds, etc.) and adding the extra information you think is needed to the article in question (soul conjecture), if you were truly curious? — Preceding unsigned comment added by 2605:a000:1401:8806:222:69ff:fe4c:408b (talk) 08:21, 27 August 2019 (UTC)

Some modifications
I added some material on Perelman's work in the 90s, particularly on Alexandrov spaces, since I believe it has been more important than his proof of the soul conjecture. I've also significantly edited the section on verification, and I tried very hard to make it neutral. I've included quotes from Kleiner-Lott and Cao-Zhu which clarify the nature of Perelman's papers and why the expositions are so important. Previous versions of the page take a seemingly very moralistic viewpoint towards Cao and Zhu, which I don't think is appropriate. I've tried to include all viewpoints in a neutral way. In particular I included a somewhat long but extremely qualified quote from Yau, which I think represents very clearly the "dissenting" viewoint. I think it is clearly appropriate for inclusion, especially given that I explicitly framed it as a minority view and even followed it by a high laudation from Donaldson.

Gumshoe2 (talk) 04:59, 23 May 2020 (UTC)

Useful addition to article
The article would benefit from the inclusion of a timeline, describing which institutions Perelman has been affiliated with and during which years.