Zoom link:  https://princeton.zoom.us/j/97126136441

Passcode: The three digit integer that is the cube of the sum of its digits
 

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.