Fourier Uniformity of Multiplicative Functions

Fourier Uniformity of Multiplicative Functions

Explore the Fourier uniformity conjecture and its implications in a 57-minute lecture by Miguel Walsh from the University of Buenos Aires. Delve into recent advancements in understanding which multiplicative functions can possess large Fourier coefficients across numerous short intervals. Examine the conjecture's connection to prime number distribution and its relationship with other key problems concerning multiplicative functions, including the Chowla and Sarnak conjectures. Gain insights into this complex mathematical topic and its significance in number theory.