# The pseudospectrum of polynomials in random matrices

## Location

Sequoia Hall 200

Monday, December 2, 2019 4:00 PM

Nicholas Cook, Stanford

The pseudospectrum of an operator is the set of "almost eigenvalues" in the complex plane. Pseudospectra are important for quantifying the stability of numerical algorithms involving non-normal matrices. In recent years there has been enormous progress on understanding the pseudospectrum of random matrices with iid entries. In this talk I will discuss some extensions to quadratic polynomials in iid matrices. Based on joint work with Alice Guionnet and Jonathan Husson.