Arithmetic applications of random multiplicative functions

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Max Wenqiang Xu, NYU
IAS - Simonyi Hall 101

*Note time change*

I will give an overview of recent progress in random multiplicative functions (random models for multiplicative functions) and their connection to the study of the Fyodorov-Hiary-Keating conjecture and Polya's question on nonnegative character sums; and applications to character sums estimates and Mobius cancellations.