一、讲座题目

Gower uniformity of primes in short intervals and in arithmetic progressions

二、主讲人

邵煊程

三、摘要

A celebrated theorem of Green-Tao asserts that the set of primes is Gowers uniform, allowing them to count asymptotically the number of k-term arithmetic progressions in primes up to a threshold. In this talk I will discuss results of this type for primes restricted to either short intervals or arithmetic progressions. These can be viewed as generalizations of classical problems, such as counting primes in short intervals, and the Bombieri-Vinogradov theorem. This is based on joint works with Kaisa Matomaki and with Joni Teravainen.

四、主讲人简介

邵煊程，University of Kentucky

五、邀请人

数学学院赵立璐教授

六、时间

6月17日（周三）9:00-10:00

七、地点

Zoom会议，会议ID：678 547 5442

https://cernet.zoom.com.cn/j/6785475442

八、主办单位

山东大学数学学院