[Distinguished Lecture] Small gaps between primes

July 20, 2015 15:00-16:00, 镜春园82号甲乙丙楼的中心报告厅

Abstract: The twin prime conjecture states that there are infinitely many pairs of distinct primes which differ by 2. Until recently this conjecture had seemed to be out of reach with current techniques. However, in 2013, the author proved that there are infinitely many pairs of distinct primes which differ by no more than B with B = 7· 107. The value of B has been considerably improved by Polymath8 (a cooperative team) and Maynard.

In this talk we shall describe the basic ideas which lead to the proofs of the above results. In particular, a breakthrough on the distribution of primes in arithmetic progressions will be introduced.

素数的gap

8 月 22 日  浙江大学理学大讲堂

我的数学人生

8 月 24 日下午 3:30-5:00

Counting from Infinity, A film about Yitang Zhang and the twin prime conjecture, 终于公映了

Yitang Zhang

ICM 2014 Program

4 个数学家将获得本届大会的 Fields Medal.

1. A Transition Formula for Mean Values of Dirichlet Polynomials
2014,6.23./6.25. 9:30-11:30

2. 关于 Siegel 零点
2014.7.2.9:30-11:30

3. Distribution of Prime Numbers and the Riemann Zeta Function
July 8, 10, 2014 16:00-17:00, 镜春园82号甲乙丙楼的中心报告厅
July 15, 16:30-17:30 镜春园 78 号院的 77201 室.

4. 关于 Siegel 零点(2)
014.7.16./7.30./8.4./8.6. 9:30-11:30
N820

The Ostrowski Prize for the year 2013 is confered to Yitang Zhang

张益唐从 2014 年开始以访问学者身份加入普林斯顿高等研究院. 他没有任何来自教学或者科研经费的压力, 可以专心的做理论研究.

Ostrowski 基金的目的是为了促进数学科学. The Foundation A. M. Ostrowski for an international prize in higher mathematics was created by Alexander Markovich Ostrowski (1893-1986) who  from 1928 to 1958 was professor of mathematics at the University of Basel.

The 2014 Frank Nelson Cole Prize in Number Theory is awarded to Yitang Zhang(张益唐), Daniel Goldston, Janos Pintz and Y. Yildirim.

2005 年, Goldston, Pintz and Yildirim(GPY) 使用常规手段–Selberg Sieve 与 Bombieri-Vinogradov theorem–结合一些新的想法, 证明了:

$|p-q|\lt\epsilon\log p.$

Cole Prize 分代数和数论两项, 目前都是每三年发一次, 代数奖在数论奖的后一年颁发. 这两个奖的奖金都是 \$5000, 获奖者必须是美国数学会的成员或者论文发表在获得承认的北美期刊. 数论奖 1997 年的获得者是 Andrew J. Wiles.

8月 23 日, 26日上午, 张益唐在晨兴数学中心(Morningside Center of Mathematics, Chinese Academy of Sciences)110 房间以 “Distribution of Prime Numbers” 为题, 做了更细节的讲解.

Yitang Zhang at Morningside Center of Mathematics

23 日

Part 2

Part 3

Part 4

26 日

Part 2

Part 3

Part 4

Yitang Zhang’s Peking University Lecture