### Institute for Advanced Study, June 21-24, 2022

#### Videos of the talks

**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

**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