The Sarnak Conjecture Learning Seminar is running in Spring 2022 in the Department of Mathematics. We meet Fridays, 4-5 pm in Math Tower 154.
Sarnak’s Möbius disjointness conjecture is an important open problem at the interface of ergodic theory, topological dynamics, and number theory that has spurred numerous exciting directions of research in recent years. The conjecture postulates a strong “randomness” property of the (additive structure of the) prime numbers, namely that the Möbius function does not correlate with any deterministic sequence.
The goal of this seminar is to discuss the heuristics behind this conjecture, review some basic facts from dynamics and number theory, and to survey some of the exciting results which were stimulated by this conjecture.