# 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**

05C80 - Random graphs (graph-theoretic aspects) [See also 60B20]

15B52 - Random matrices (algebraic aspects) {For probabilistic aspects, see 60B20}

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

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

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

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

35R60 - PDEs with randomness, stochastic partial differential equations [See also 60H15]

37K60 - Lattice dynamics; integrable lattice equations [See also 37L60]

52C20 - Tilings in $2$2 dimensions (aspects of discrete geometry) [See also 05B45, 51M20]

60B20 - Random matrices (probabilistic aspects) {For algebraic aspects, see 15B52}

60G55 - Point processes (e.g., Poisson, Cox, Hawkes processes)

60H15 - Stochastic partial differential equations (aspects of stochastic analysis) [See also 35R60]

60H25 - Random operators and equations (aspects of stochastic analysis) [See also 47B80]

60K25 - Queueing theory (aspects of probability theory) [See also 68M20, 90B22]

62M45 - Neural nets and related approaches to inference from stochastic processes

65F15 - Numerical computation of eigenvalues and eigenvectors of matrices

65F35 - Numerical computation of matrix norms, conditioning, scaling [See also 15A12, 15A60]

82C22 - Interacting particle systems in time-dependent statistical mechanics [See also 60K35]

82C23 - Exactly solvable dynamic models in time-dependent statistical mechanics [See also 37K60]

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

August 23, 2021 - August 27, 2021 | [HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 1 |

September 20, 2021 - September 24, 2021 | [HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 2 |

October 18, 2021 - October 22, 2021 | [HYBRID WORKSHOP] Integrable Structures in Random Matrix Theory and Beyond |