Speaker : Prof. Sun, Zhi-Wei (Nanjing University)
Title : Determinants, Permutations and Additive Combinatorics
Time : 2014-07-24 (Thu) 15:00 - 16:00
Place : Lecture Hall, Inst. of Mathematics
Abstract: In this talk we will introduce some new problems and related progress on determinants involving Legendre symbols, circular permutations and additive combinatorics. For example, we conjecture that for any finite subset of an additive abelian group with there is a circular permutation of the elements of such that all the sums are pairwise distinct. The speaker has proved this for any torsion-free abelian group , but it is even open for cyclic groups of prime orders.