Home  |  Sitemap  |  Contact Us  |  中文

Home > Events > Content
Lecture on "Vinogradov's Three Primes Theorem with Primes from Special Sets I, II, III"
Date and Time: 2019-05-05 11:06:16

Speaker: Shao Xuancheng, University of Kentucky

Schedule:

May 7, 9:30-11:30, Room 1032, Zhixin Building, Central Campus

May 8, 19:00-21:00, Room 1044, Zhixin Building, Central Campus

May 9, 15:30-17:30, Room 1044, Zhixin Building, Central Campus

Inviter: Prof. Zhao Lilu

Sponsor: the School of Mathematics

Abstract:

In 2008 Green and Tao proved that there exist arbitrarily long arithmetic progressions in primes. In doing so they introduced methods from additive combinatorics, namely the "transference principle", to tackle analytic problems involving primes. The main goal of this series of lectures is to explain what the transference principle is, and how it can be adapted to different problems. More specifically we will discuss:

1. Roth's theorem, and the Fourier-analytic transference principle to find 3-term arithmetic progressions in primes;

2. Szemeredi's theorem, and the higher-order version of the Fourier-analytic transference principle to find k-term arithmetic progressions in primes, for any k>3.

3. The transference principle approach to find solutions to the equation N=a_1+a_2+a_3 with a_1,a_2,a_3 coming from a given set A, for example a subset of primes.

4. Applicationsto the case when A is the set of "almost twim primes", and a set of primes in short intervals.

5. Other applications.


For further information, please visit:

http://www.view.sdu.edu.cn/info/1020/117443.htm

Edited by: Xie Tingting




Copyright 2011 © All rights reserved, Network Center, Shandong University    |    englishweb@sdu.edu.cn