Department of

April 2021 May 2021June 2021Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr SaSuMo Tu We Th Fr Sa 1 2 3 1 1 2 3 4 5 4 5 6 7 8 9 10 2 3 4 5 6 7 8 6 7 8 9 10 11 12 11 12 13 14 15 16 17 9 10 11 12 13 14 151314 15 16 17 18 19 18 19 20 21 22 23 24 16 17 18 19 20 21 22 20 21 22 23 24 25 26 25 26 27 28 29 30 23 24 25 26 27 28 29 27 28 29 30 30 31

Friday, February 12, 2021

**Abstract:** An old conjecture in additive combinatorics asks: what is the largest sum-free subset of any set of N positive integers? Here the word "largest" should be understood in terms of cardinality. For example, the largest sum-free subset of the first N positive integers has cardinality [(N+1)/2], which is the number of odd integers smaller than N, as well as the number of integers that lie in the interval [N/2,N]. In this talk, I will discuss a special case of the sum-free conjecture and the analogous conjecture on (k,l)-sum-free sets. This is a joint work with Yifan Jing

Friday, February 19, 2021

Friday, February 26, 2021

Friday, March 5, 2021

Friday, March 12, 2021

Friday, March 19, 2021

Friday, April 2, 2021