西湖数论研讨班第一期

来源:理学研究所 发布时间:2017-11-04 作者:赵永强 阅读数:988次


地点:理学研究所大楼509

1、演讲人:西安交通大学郗平副教授

时间:11月25号上午9:00-12:00.

题目:Greatest prime factors of  polynomials at prime arguments

摘要:It is widely believed that each  fixed irreducible polynomial with no fixed prime factors can capture infinitely  many prime values at prime arguments. In this talk, we are interested in the  greatest prime factors of linear and quadratic polynomials at prime arguments as  approximations. We will give more details to the background of this problem,  ideas of sieve methods, Brun-Titchmarsh theorems and estimates for algebraic  exponential sums.

2、演讲人:西北大学杜托平教授

时间:11月25号下午14:00-17:00.

题目:The Eisenstein series and Heegner  divisors

摘要:In this talk, I will first recall  the classical Siegel-Weil formula. Then I will discuss the  relations between Heegner divisors and Eisenstein series. In the last  part of the talk, I will introduce Kudla's program, especially the  program on Shimura curves and the arithmetic Siegel- Weil formula  between heights of Heegner divisors and derivatives of Eisenstein series.

3、演讲人:中国科学院晨兴数学中心尹洪波博士

 时间: 11月26号上午8:30-11:30.

 题目:Introduction to the BSD conjecture  and the Sylvester conjecture

 摘要:The BSD conjecture is the central  problem in the study of elliptic curves. In this talk, I will  give a basic introduction to the BSD conjecture, and especially I  will focus on basic notions in elliptic curves related to this  conjecture and basic results about it. In addition, I will also  introduce the Sylvester conjecture that concerns primes can be  written as a sum of two rational cubes.

4、演讲人:法国国家科研中心(CNRS)吴杰教授

时间:11月26号下午13:30-16:30.

题目:线性筛法及其应用

摘要:在本讲座中,我们将介绍线性筛法(Selberg上界筛法,Rosser-Iwaniec组合筛法)的基本理论,并通过几个具体例子来讲述这个理论的应用。特别地,我们将提及陈景润的重要贡献。

报名链接:http://www.wias.org.cn/index.php?a=details&type=1