数学系学术报告

发布日期: 2017-07-07浏览次数:

报告题目:On the DKSS Conjecture for Finite Abelian Groups

报告人: 孙智伟教授,南京大学数学系

报告时间:2017.07.10上午10:00

报告地点:威廉希尔会议室

联系人: 陈智

热烈欢迎各位老师和同学参加!

报告摘要:

        Let G be a finite abelian group with |G| > 1, and let p(G) be the smallest prime divisor of |G|. In 2011 Dasgupta, Karolyi, Serra and Szegedy conjectured that if A = {a_1, a_2, ... , a_k} is a subset of G with |A|=k<p(G), and b_1, b_2, ... , b_k are (not necessarily distinct) elements of G then there is a permutationπwhich is in S_k such that a_1b_{π(1)}, ... , a_kb_{π(k)} are pairwise distinct. In this talk we introduce progress on the above DKSS conjecture and a related conjecture of Snevily in additive combinatorics.