Simon Telen
Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
Chebyshev varieties
28 May 2024, 5pm
KU Leuven, Department of Electrical Engineering (ESAT)
Aula C (ELEC B91.300)
streaming link: https://eu.bbcollab.com/guest/61af0a863fd040bd94a9aa0cc93b2b40
Abstract
Chebyshev varieties are algebraic varieties parametrized by Chebyshev polynomials. They arise naturally when solving polynomial equations expressed in the Chebyshev basis. More precisely, when passing from monomials to Chebyshev polynomials, Chebyshev varieties replace toric varieties. I will introduce these objects, discuss their defining equations and present key properties. Via examples, I will motivate their use in practical computations. This is joint work with Zaïneb Bel-Afia and Chiara Meroni.
