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We need more reference on Grigori Perelman — Preceding unsigned comment added by 37.231.107.182 ( talk) 14:44, 17 March 2016 (UTC)
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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)
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)
The article would benefit from the inclusion of a timeline, describing which institutions Perelman has been affiliated with and during which years.