The behavior of the Mobius function is central in the theory of prime numbers. A surprising connection with the theory of dynamical systems was discovered in 2010 by P. Sarnak, who formulated the Mobius Disjointness Conjecture (MDC), which asserts that the Mobius function is linearly disjoint from any zero-entropy flows. This conjecture opened the way into a large body of research on the interface of analytic number theory and ergodic theory. In this talk I will report how to establish MDC for a class of irregular flows, which are in general mysterious and ill understood. This is based on joint works with P. Sarnak, and with W. Huang and K. Wang.
This talk is part of the online Number Theory Web Seminar, and will be streamed live on Zoom.
To attend the talks, registration is necessary. To register please visit our website
Registered users will receive an email before each talk with a link to the Zoom meeting.
Mike Bennett (University of British Columbia)
Philipp Habegger (University of Basel)
Alina Ostafe (UNSW Sydney)
Number Theory Seminar
Tue, 22/12/2020 - 9:00pm
RC-4082, The Red Centre, UNSW