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.
Bryna Kra
(847) 491-5567
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