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| | 卡拉比猜想证明50周年:丘成桐王国的诞生 | | | 丘成桐 | 知识分子 | 2026-09-12 | | | |
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scroll 0 1 1978年,29岁的丘成桐在《纯粹与应用数学通讯》发表卡拉比猜想的完整证明,解决了复几何领域一个悬而未决二十余年的难题。[1] 这是数学史上璀璨的一笔,开启了几何分析的新时代,由此发展出的成果甚至不断延伸至代数几何、拓扑学和理论物理等领域。
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2022年4月,丘成桐在清华大学。图源:清华大学
卡拉比猜想的证明工作实际上在1976年已经完成。当年圣诞节,丘成桐与猜想提出者卡拉比(Eugenio Calabi)及纽约大学数学家路易斯·尼伦伯格会面,经两人检查证明过程并确认其正确性。
也正因此,2026年是卡拉比猜想被证明的50周年。
围绕卡拉比猜想形成的新方法和理论,推动了大量研究成果的涌现。丘成桐也因其在微分几何、偏微分方程等领域的一系列贡献,于1982年成为首位获得菲尔茨奖的华人数学家。
丘成桐在自传中描述解决卡拉比猜想那一瞬间:“不知何故令我对大自然有了一种新的认知和感受。”[2]
这种对数学结构与时空之间的深层感悟,在此后的物理学界找到了回响。1985年,四位物理学家将满足特定条件的卡拉比-丘流形引入超弦理论,为额外维度的紧致化提供了数学基础。[3] 斯坦福大学物理学家萨斯金(Leonard Susskind)称,卡拉比-丘流形是“弦论的DNA”。
2026年9月7日,清华大学求真书院、北京雁栖湖应用数学研究院、清华大学丘成桐数学科学中心在北京举办"传承与未来:卡拉比-丘理论发展五十周年学术研讨会”。
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