## [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

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