Tsinghua University Loo-Keng Hua Distinguished Lecture was established in 2011 by Mathematical Sciences Center, Tsinghua University to honor the fundamental contributions of Loo-Keng Hua to number theory, algebra and analysis. The lectureship is awarded to individuals who have made outstanding scholarly contributions to the advancement of number theory, algebra and analysis. The recipient will deliver a public lecture at Tsinghua University. The award includes round-trip travel to Beijing, a citation and a cash prize.
Speaker: Yitang Zhang (University of New Hampshire)
Time: 15:00-16:00, August 23 (Friday)
Place: Reception Hall, Floor 3, Main Building, Tsinghua University
Title: Bounded gaps between primes and relevant problems
Abstract:
In this talk we describe the ideas of proving the result
where pn denotes the n-th prime.
The first step is to reduce the problem to evaluating and comparing certain arithmetic sums, following the recent work of Goldston, Pintz and Yildirim. Then the major problem we encounter is to bound the error terms efficiently. To this end we introduce a stronger version of the Bombieri-Vinogradov theorem that is motivated by the work of Bombieri, Friedlander and Iwaniec. Some important results in algebraic geometry are needed to complete the proof.
We also discuss relevant problems on the distribution of primes.
