Wednesday, October 9 2019, 3:45pm Boyd Room 303 Title: Sumsets in the roots of unity Abstract: How large can the size of sets A and B be if their sum set is contained in the set of quadratic residues modulo p? We will discuss progress on this old problem and what it implies for a conjecture of Sarkozy, that the quadratic residues modulo any prime p can only be written as a sum set A+B if one of the two sets is a singleton.
