Speaker:孙智伟（南京大学） Venue: B1032 Time: 2017年12月01日 14:30-15:30 Title: On Snevily's conjecture and related topics Abstract:Let $G$ be a finite abelian group of odd order. In 1999 H. S. Snevily conjectured that for any two subsets $A$ and $B$ of $G$ with $|A|=|B|=n$ there is a numbering ${a_i}_{i=1}^n$ of the elements of $A$ and a numbering ${b_i}_{i=1}^n$ of the elements of $B$ such that $a_1+b_1,ldots,a_n+b_n$ are pairwise distinct. In this talk we first review the initial progress on this conjecture via Alon's Combinatorial Nullstellensatz (the polynomial method), and also the Feng-Sun-Xiang work on the related Dasgupta-K′arolyi-Serra-Szegedy conjecture via characters of abelian groups. Finally we talk about B. Arsovski's elegant solution of the Snevily conjecture and pose a new conjecture on finite abelian groups.