H.B. Keller Colloquium

With the introduction of the AAA algorithm in 2018
(Nakatsukasa-Sete-T., SISC), the computation of rational
approximations changed from a hard problem to an easy one.
We've been exploring the implications of this transformation
ever since.  This talk will review the algorithm and then
present about 15 demonstrations of applications in various areas
including interpolation of missing data, analytic continuation,
analysis of solutions of dynamical systems, Wiener-Hopf and
Riemann-Hilbert problems, function extension, model order reduction,
Dirichlet-to-Neumann maps, and Laplace, Stokes, and Helmholtz
calculations.