Title: Extremal problems for multiplicative functions
Abstract: Nowadays there are two prominent approaches to questions about the distribution of prime numbers: Riemann's classical methods using zeros of zeta functions, and the recent pretentious theory of multiplicative functions (which is mostly a combination of older "ad hoc" techniques). In this talk we present the basics of this newer theory, how it relates closely to the theory of integral-delay equations and then focus on some recent work on extremal problems (in joint work of the speaker with Kevin Church, Kaisa Matomaki, Kannan Soundararajan and Daodao Yang).
