这是闭幕式前的最后一个 invited talk. 张大师习惯手写, 当场演算.
Yitang Zhang stepped onto the main stage of mathematics last year with the announced of his achievement that is hailed as “a landmark theorem in the distribution of prime numbers”.
这是闭幕式前的最后一个 invited talk. 张大师习惯手写, 当场演算.
Yitang Zhang stepped onto the main stage of mathematics last year with the announced of his achievement that is hailed as “a landmark theorem in the distribution of prime numbers”.
每 4 年举行一次世界数学家大会从 13 日到 21 日在首尔会展中心(COEX)举行.
Martin Groetschel, Secretary-General of IMU, 在开幕式上的讲话说, IMU 有一些倡议. 这些打算之一是 adopt-a-graduate-student: IMU 会扶持发达国家的数学家, 这些数学家愿意给不那么发达国家的工作在相近领域的数学博士提供指导(mentorship).
今年的 Chern Medal 的得主 Phillip Griffiths 选择了 African Mathematics Millennium Science Initiative(AMMSI) 来接受 $250,000.
Donaldson, Tao, Kontsevich, Lurie and Taylor, winners of the Breakthrough Prizes in mathematics, 每人给了 $100,000 给一个目的是支持发展中国家的博士的$500,000 基金会. 具体采用何种方式来实施帮助不得而知, 但已经使用了 “breakout graduate fellowships” 这样的措词.
Martin Groetschel 还指出, 韩国的数学出版物的数量当前是世界第 11 位, 但韩国数学家 1981 年发表在国际期刊上的论文仅仅只有 3 篇. 韩国从几乎一无所有, 建立了现在的数学传统, 仅仅过了一代人的时间.
1981 年成为国际数学联盟的最低等级第1军成员国的韩国时隔 33 年从援助受惠国成为供应国, 这将成为向全世界宣传韩国数学的契机.
韩国总统朴槿惠出席了当天的开幕式, 她强调了数学给我们的生活带来的影响, 向帮助韩国数学升至世界水平的世界数学界表达了谢意.
ICM 开幕式的一个小插曲是, 戴着面具的舞蹈演员走上舞台时, Maryam Mirzakhani 的不到三岁的女儿 Anahita 发出恐怖的尖叫, 许久才平静下来. Timothy Gowers 有一个 6 岁的儿子.
The Fields Medal Committee for 2014 consisted of Daubechies, Ambrosio, Eisenbud, Fukaya, Ghys, Dick Gross, Kirwan, Kollar, Kontsevich, Struwe, Zeitouni and Günter Ziegler.
The program committee consisted of Carlos Kenig (chair), Bolthausen, Alice Chang, de Melo, Esnault, me, Kannan, Jong Hae Keum, Le Bris, Lubotsky, Nesetril and Okounkov.
Kyoto University professor Shigefumi Mori has been elected president of the International Mathematical Union(IMU), becoming the first head of the group from Asia.
The ICM executive committee for the next four years will be Shigefumi Mori (president), Helge Holden (secretary), Alicia Dickenstein (VP), Vaughan Jones (VP), Dick Gross, Hyungju Park, Christiane Rousseau, Vasudevan Srinivas, John Toland and Wendelin Werner.
好像, 国际数学联盟已经讨论过, 在大会开幕很久之前公布大奖得主的名字, 是否可行.
下次全世界数学家的聚会, 2018 年的八月在巴西. The General Assembly of the IMU in Gyeongju announced on Aug. 11 that Rio de Janeiro would be the site of ICM 2018.
Etienne Ghys 的报告讲述了 Artur Avila 的工作
从牛顿 (Newton) 就有的, 有了一个微分方程, 想法设法把解找出来. 这取得了相当的成功.
然而, 过了一段时间, 事情已经很明显了, 人们通常不能指望找到这个方程的解. Poincaré 的主意是: 我们把目标降低一些, 只不过渴望发现解的一些有趣的性质.
到了 1960s 年代, Smale 和 Thom 走的更远, 接受了这样一个认识: 物理学家事实上常常并不知道模拟眼前现象的方程. 于是, 现在可以把努力总结成: 你的手上并没有微分方程, 但你依旧尽力找到解的一些有趣性质.
成立于1952年的 IMPA, 即巴西国家数学与应用数学研究所, 座落于里约热内卢的森林之中, 环境优雅, 是巴西最顶尖的数学科研教育机构.
IMPA是国际一流数学研究所, 有不少世界一流的专家. 比如, 2014年韩国世界数学家大会, IMPA有四位教授受邀请做大会报告, 有两位教授参选2014 年菲尔兹奖, 他们是 Artur Avila 和 Fernando Codá Marques.
IMPA的博士加硕士学生总数 100 名左右. IMPA入学以后, 有一定淘汰率. 被退学的学生, 很多在里约市其他大学找到了机会继续学习.
IMPA 的学生主要来自以葡萄牙语和西班牙语为母语的国家, 授课百分之九十使用葡语, 但是考试可以使用英语作答. 偶尔会有教授使用英文授课, 但是这种情况很少, 而且往往不是常规课程. 过去的三五年期间, IMPA每个学期都会挑选3, 5门课程录影并提供免费下载. 这些录影多数也有被上传到 YouTube.
Mirzakhani 在 IMO 表现杰出.
Artur Avila
Manjul Bhargava
Martin Hairer
Maryam Mirzakhani
At the opening ceremony of the International Congress of Mathematicians 2014 on August 13, 2014, the Fields Medals (started in 1936), the Nevanlinna Prize (started in 1982), the Gauss Prize (started in 2006), and the Chern Medal Award (started in 2010) were awarded. In addition, the winner of the Leelavati Prize (started in 2010) and the speaker of the ICM Emmy Noether Lecture (started in 1994) were announced.
Subhash Khot
Stanley Osher
Phillip Griffiths
Adrián Paenza
The 2014 ICM Emmy Noether lecturer is Georgia Benkart.
Stanford University, USA
[Maryam Mirzakhani is awarded the Fields Medal]
for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.
CNRS, France & IMPA, Brazil
[Artur Avila is awarded a Fields Medal] for his profound contributions to dynamical systems theory have changed the face of the field, using the powerful idea of renormalization as a unifying principle.
Princeton University, USA
[Manjul Bhargava is awarded a Fields Medal]
for developing powerful new methods in the geometry of numbers and applied them to count rings of small rank and to bound the average rank of elliptic curves.
University of Warwick, UK
[Martin Hairer is awarded a Fields Medal]
for his outstanding contributions to the theory of stochastic partial differential equations, and in particular created a theory of regularity structures for such equations.
New York University, USA
[Subhash Khot is awarded the Nevanlinna Prize]
for his prescient definition of the “Unique Games” problem, and his leadership in the effort to understand its complexity and its pivotal role in the study of efficient approximation of optimization problems, have produced breakthroughs in algorithmic design and approximation hardness, and new exciting interactions between computational complexity, analysis and geometry.
Institute for Advanced Study, USA
[Phillip Griths is awarded the 2014 Chern Medal]
for his groundbreaking and transformative development of transcendental methods in complex geometry, particularly his seminal work in Hodge theory and periods of algebraic varieties.