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Xiuxiong Chen: Difference between revisions

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== Conjecture on Fano manifolds and Veblen Prize ==
In 2019, Chen was awarded the prestigious [[Oswald Veblen Prize in Geometry]], together with English mathematician [[Simon Donaldson]] and Chen's former student [[Song Sun]], for proving a long-standing conjecture on [[Fano manifolds]], which states "that a Fano manifold admits a [[Kähler–Einstein metric]] if and only if it is K-stable". It had been one of the most actively investigated topics in geometry since a loose version of it was first proposed in the 1980s by eventual [[Fields Medalist]] [[Shing-Tung Yau]] after his proof of the [[Calabi conjecture]]. More precise versions were subsequently proposed by Chinese mathematician [[Gang Tian]] and Donaldson. The solution by Chen, Donaldson and Sun was published in the ''[[Journal of the American Mathematical Society]]'' in 2015 as a three-article series, "Kähler–Einstein metrics on Fano manifolds, I, II and III".<ref>{{Cite web|url=http://www.ams.org/news?news_id=4705|title=2019 Oswald Veblen Prize in Geometry to Xiuxiong Chen, Simon Donaldson, and Song Sun|last=|first=|date=19 November 2018|website=American Mathematical Society|archive-url=|archive-date=|access-date=9 April 2019}}</ref><ref name=":0">{{Cite web|url=https://news.stonybrook.edu/homespotlight/stony-brook-faculty-win-prestigious-veblen-prize-in-geometry/|title=Stony Brook Faculty Win Prestigious Veblen Prize in Geometry|last=|first=|date=20 November 2018|website=Stony Brook University|archive-url=|archive-date=|access-date=8 April 2019}}</ref>
 
==Major publications==