Zaïneb Bel Afia – Mathematics and Decision

$\begin{quote} \begin{center} \textbf{Chebyshev varieties} \end{center} Chebyshev varieties are algebraic varieties parametrized by Chebyshev polynomials. They arise when solving polynomial equations expressed in the Chebyshev basis. Chebyshev polynomials are widely used in optimization and numerical analysis, and their analytic aspects have been studied intensively. On the other hand, their algebraic properties remain relatively unexplored. This talk aims to bridge this gap. I will discuss defining equations of Chebyshev varieties and give some key properties. Through examples, I will motivate their use in effective computations. This is ongoing work with Chiara Meroni (Harvard University) and Simon Telen (MPI MiS). \end{quote}$