# Program

**Keywords and Mathematics Subject Classification (MSC)**

**Tags/Keywords**

Random matrix theory

Numerical linear algebra

condition number

Anderson localization

spectral graph theory

Beta ensembles

log-gases

spin glasses

Neural networks

Principal component analysis

Sample covariance matrix

free probability

Dyson Brownian motion

Non-normal matrices

Orthogonal polynomials

Hankel determinants

Toepliz determinants

L-functions

Airy process

Sine process

Determinantal point processes

Kardar-Parisi-Zhang universality

Asymmetric simple exclusion process

Random growth model

Interacting particle system

random tilings

Gaussian free field

Directed polymer

Last passage percolation

Bethe ansatz

Six vertex model

Yang-Baxter equation

Arctic circle theorem

Tracy-Widom distribution

Stochastic partial differential equation

Stochastic heat equation

Stochastic Burgers equation

Integrable probability

Symmetric polynomials

Painleve transcendents

**Primary Mathematics Subject Classification**

17B69 - Vertex operators; vertex operator algebras and related structures

33D45 - Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.)

33F05 - Numerical approximation and evaluation [See also 65D20]

35Q15 - Riemann-Hilbert problems [See also 30E25, 31A25, 31B20]

37K15 - Integration of completely integrable systems by inverse spectral and scattering methods

60B20 - Random matrices (probabilistic aspects; for algebraic aspects see 15B52)

60H15 - Stochastic partial differential equations [See also 35R60]

65F35 - Matrix norms, conditioning, scaling [See also 15A12, 15A60]

82D30 - Random media, disordered materials (including liquid crystals and spin glasses)

**Secondary Mathematics Subject Classification**No Secondary AMS MSC

August 23, 2021 - August 27, 2021 | Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems |

October 18, 2021 - October 22, 2021 | Integrable structures in random matrix theory and beyond |