查看“︁西蒙·布伦德勒”︁的源代码

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{{Infobox scientist
|name=Simon Brendle
|image=Simon Brendle.jpg<!--(filename only)-->|birth_date={{Birth year and age|1981|6}}|death_date=<!-- {{Death date and age|YYYY|MM|DD|YYYY|MM|DD}} (death date then birth date) -->
|nationality=[[德国]]
|alma_mater=[[蒂宾根大学]]
|known_for=Yamabe Flow, Differentiable Sphere Theorem, Min-Oo Conjecture, Lawson Conjecture|awards=[[歐洲數學學會|欧洲数学会奖]] (2012)<br> [[Bôcher Prize]] (2014)<br> [[西蒙斯研究奖]] (2017)<br> [[费马奖]] (2017)<ref>{{Cite web |url=http://smf.emath.fr/content/prix-fermat-2017 |title=存档副本 |access-date=2018-07-31 |archive-date=2018-11-10 |archive-url=https://web.archive.org/web/20181110155212/http://smf.emath.fr/content/prix-fermat-2017 }}</ref>|fields=[[数学]]|workplaces=[[哥伦比亚大学]]<br>[[斯坦福大学]]
|doctoral_advisor=[[Gerhard Huisken]]}}
'''西蒙布伦德勒'''（{{lang-de|Simon Brendle}}，{{bd|1981年|6月}}），[[德国]][[数学家]]，其主要工作是关于[[微分几何]]和非线性[[偏微分方程]]。他2001年在Gerhard Huisken指导下获得了[[蒂宾根大学]]的博士学位。2005至2016年任[[史丹佛大學|斯坦福大学]]教授，后成为[[哥伦比亚大学]]教授。他曾在[[麻省理工学院]]、[[苏黎世联邦理工学院]]、[[普林斯顿大学]]和[[剑桥大学]]做访问学者。

== 工作 ==
布伦德勒解决了共形几何中山边方程的主要开放问题。这包括他提出的[[山邊問題]]紧致性猜想的反例，以及所有维度的山边流的收敛性证明（[[理查德·哈密顿]]提出猜想）。2007年，他证明了可微球面定理（与[[理查德·舍恩]]合作），这是全局微分几何中的一个基本问题。2012年，他证明了项武义-劳森猜想，这是極小曲面理论中一个长期存在的问题。 他还研究了平均曲率流和[[里奇流]]中的奇点形成，解决了在[[格里戈里·佩雷尔曼]]工作中出现的里奇流的自相似解的唯一性问题。

== 主要出版物 ==
*''Blow-up phenomena for the Yamabe equation'', Journal of the AMS 21, pp.&nbsp;951–979, 2008 {{doi|10.1090/S0894-0347-07-00575-9}}
*''Convergence of the Yamabe flow in dimension 6 and higher'', Inventiones Mathematicae 170, pp.&nbsp;541–576, 2007 {{doi|10.1007/s00222-007-0074-x}}
*(joint with R. Schoen) ''Manifolds with 1/4 pinched curvature are space forms'', Journal of the AMS, 22, 2009, pp.&nbsp;287 (Differentiable Sphere Theorem) {{doi|10.1090/S0894-0347-08-00613-9}}
*[https://books.google.com/books/about/Ricci_Flow_and_the_Sphere_Theorem.html?id=GoyDAwAAQBAJ ''Ricci Flow and the Sphere Theorem''], American Mathematical Society, [[Graduate Studies in Mathematics]], vol. 111, 2010
*(joint with R. Schoen) ''Curvature, sphere theorem and the Ricci flow'', Bulletin of the AMS, 48, 2011, pp.&nbsp;1–32, [http://www.ams.org/journals/bull/2011-48-01/S0273-0979-2010-01312-4/home.html Online] {{Wayback|url=http://www.ams.org/journals/bull/2011-48-01/S0273-0979-2010-01312-4/home.html |date=20200114124919 }}
*(joint with R. Schoen) [https://books.google.com/books?id=GFE1vx2pynMC&pg=PA449 ''Riemannian manifolds of positive curvature''], Proceedings of the International Congress of Mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I, pp.&nbsp;449–475, 2011
*(joint with F. C. Marques, A. Neves) ''Deformations of the hemisphere that increase scalar curvature'', Inventiones Mathematicae 185, 2011, pp.&nbsp;175–197, [https://arxiv.org/abs/1004.3088/ Preprint] {{Wayback|url=https://arxiv.org/abs/1004.3088/ |date=20191014042200 }} (Min-Oo Conjecture)
*''Rotational symmetry of self-similar solutions to the Ricci flow'' Inventiones Mathematicae 194, 2013, pp.&nbsp;731–764 {{doi|10.1007/s00222-013-0457-0}}
*''Embedded minimal tori in <math>S^3</math> and the Lawson conjecture'', Acta Mathematica 211, 2013, pp.&nbsp;177--190, [https://arxiv.org/abs/1203.6597/ Preprint] {{Wayback|url=https://arxiv.org/abs/1203.6597/ |date=20210506150648 }} (Lawson Conjecture)
*''Embedded self-similar shrinkers of genus 0'', Annals of Mathematics 183, 715-728 (2016) [https://arxiv.org/abs/1411.4640 Preprint] {{Wayback|url=https://arxiv.org/abs/1411.4640 |date=20210417232959 }}

== 参考文献 ==
{{Reflist}}

{{突破奖获得者}}

{{DEFAULTSORT: Brendle, Simon}}
[[Category:哥倫比亞大學教師]]
[[Category:微分几何学家]]
[[Category:在世人物]]
[[Category:蒂賓根大學校友]]
[[Category:突破奖获得者]]