倒计时3天 | 5位顶尖科学家领衔主讲基础科学报告

基础科学报告

Basic Science Lecture

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1974年菲尔兹奖得主，2008年沃尔夫奖得主，2006年邵逸夫奖得主，美国国家科学院院士，英国皇家科学院外籍院士，美国哈佛大学和布朗大学教授

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Consciousness was not even considered a scientific term until recently. But with the prospect of fully intelligent humanoid robots, one must confront the question of whether they are conscious. This question has many sides but here I want to focus on what physics has to say and, in particular, whether DNA creates cat-states. 

2002年图灵奖得主，以色列科学院院士，美国国家科学院院士，美国艺术与科学院院士，英国皇家科学院外籍院士，法国科学院院士，以色列魏茨曼科学研究所教授

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The talk should be accessible and of interest to both computer scientists and mathematicians, and in fact, this research was inspired by a talk by Prof. Shing-Tung Yau about the geometry of machine learning that I attended a few years ago.      

2018年菲尔兹奖得主，欧洲科学院院士，瑞士苏黎世联邦理工大学教授

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The classical obstacle problem consists of finding the equilibrium position of an elastic membrane whose boundary is held fixed and which is constrained to lie above a given obstacle. By classical results of Caffarelli, the free boundary is $C^\infty$ outside a set of singular points. Explicit examples show that the singular set could be in general (n−1)-dimensional — that is, as large as the regular set. In a recent paper with Ros-Oton and Serra we show that, generically, the singular set has zero $H^{n-4}$ measure (in particular, it has codimension three inside the free boundary), solving a conjecture of Schaeffer in dimension $n \leq 4$. The aim of this talk is to give an overview of these results.   

2004年诺贝尔物理学奖得主，美国国家科学院院士，欧洲科学院院士，中国科学院外籍院士，美国加利福尼亚大学圣塔芭芭拉分校教授

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微软研究院高级研究员

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国际基础科学大会

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