50 Years of Number Theory and Random Matrix Theory

Opening remarks: History of the math
Peter Sarnak, Hugh L. Montgomery, Jon Keating

Statistical mechanics arising from random matrix theory
Thomas Spencer

The distribution of values of zeta and L-functions
Kannan Soundararajan

Large sieve inequalities for families of L-functions
Matt Young

Number theoretic aspects of multiplicative chaos
Adam Harper

Gaussian multiplicative chaos: applications and recent developments
Nina Holden

A few results and conjectures on some product-ratio correlation functions of characteristic polynomials of beta-Hermite ensembles
Yan Fyodorov

The Fyodorov-Hiary-Keating Conjecture
Louis-Pierre Arguin

Large deviation estimates for Selberg’s central limit theorem, applications, and numerics
Emma Bailey

RMT statistics in number theory and in quantum chaos
Zeev Rudnick

Negative moments of the Riemann zeta function
Alexandra Florea

Half-isolated zeros and zero-density estimates
Kyle Pratt

The recipe for moments of L -functions and characteristic polynomials of random matrices
Sieg Baluyot

Sums of certain arithmetic functions over \(\mathbb{F}_q[T]\) and non-unitary distributions
Matilde Lalin

Moments of large families of Dirichlet L-functions
Vorrapan Chandee

Moments and bounds for L-functions of large degree
Paul Nelson