I will discuss recent work with Harald Helfgott in which we establish roughly speaking that the graph connecting n to n ± p with p a prime dividing n is almost “locally Ramanujan”. As a result we obtain improvements of results of Tao and Tao-Teravainen on logarithmic Chowla. I will discuss the main ideas in the proof and the connections with logarithmic Chowla.
This talk is related to this arXiv paper.
This video is part of the Institute for Advanced Study‘s Number theory seminar.
