When:
Tuesday, October 15, 2024
4:00 PM - 5:00 PM CT
Where: Lunt Hall, 107, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Public - Post Docs/Docs - Graduate Students
Contact:
Bryna Kra
(847) 491-5567
Group: Department of Mathematics: Dynamical Systems Seminar
Category: Lectures & Meetings
Title: From Primes to Dynamics: the Log Sarnak Conjecture for Functions of Quadratic Complexity
Abstract: Correlations with the Möbius and Liouville functions encode a lot of deep information about the primes. A broad conjecture of Sarnak generalizing results needed for the prime number theorem in arithmetic progressions, Vinogrodov’s theorem and a theorem of Green and Tao suggests that the Möbius function does not correlate with sequences coming from zero entropy dynamical systems. These are sequences that have essentially subexponential complexity. This talk will cover a variant of Sarnak’s conjecture for functions with subquadratic complexity.