Will Sawin: A Refined Random Matrix Model for Function Field L-functions (September 10, 2025)

Will Sawin will explain a proposed model for function field L-functions that combines the random matrix model with Steinhaus random multiplicative functions in a perhaps-unexpected way, and describe how it is possible to calculate some of the statistics of this model, including its moments. The moments agree with predictions made using the Conrey–Farmer–Keating–Rubinstein–Snaith recipe for the moments of the relevant function field L-functions, giving a probabilistic justification for these predictions. Uploaded 25-09-25 For more information go here: https://www.simonsfoundation.org/event/mps-conference-on-universal-statistics-in-number-theory/