Department Colloquium - Larry Guth

Speaker: Larry Guth (Claude E. Shannon Professor of Mathematics, MIT)

Title: Bounds for the number of zeroes of the Riemann zeta function in strips.

Abstract: The Riemann conjecture predicts that zeroes of the Riemann zeta function all lie on the line Re(s) = 1/2. Using harmonic analysis techniques, we can prove bounds about how many zeroes of the Riemann zeta function lie far from this line, which leads to estimates about the fine scale uniformity of the distribution of primes. Recently, Maynard and I gave an improvement for the bounds in this problem. In this talk, we will survey the problem, describing older and more recent techniques and some of the issues that make the problem difficult.

At 14:45 tea and cakes will be served in front of Aud 1.