Come join us at 6pm on Wednesday, May 16, Professor Carl Pomerance will be giving a Math Society Talk in Kemeny 108. Title: Sums and products What could be simpler than to study sums and products of integers? Well maybe it is not so simple since there is a major unsolved problem: For arbitrarily large numbers N, can there be sets of N positive integers where both the number of pairwise sums and pairwise products are less than N^{2-epsilon}? Erdos and Szemeredi conjecture no. This talk is directed at another problem concerning sums and products, namely how dense can a set of positive integers be if it contains none of its pairwise sums and products? For example, take the numbers that are 2 or 3 mod 5, a set with density 2/5. Can you do better? This talk reports on recent joint work with P. Kurlberg and J. C. Lagarias.