Chebyshev varieties

Algebra Seminar
Monday, November 27, 2023 - 1:00pm for 1 hour (actually 50 minutes)
Skiles 006
Chiara Meroni – Harvard John A. Paulson School of Engineering and Applied Sciences
Changxin Ding

Please Note: There will be a pre-seminar (aimed toward grad students and postdocs) from 11 am to 11:30 am in Skiles 006.

Chebyshev polynomials offer a natural basis for solving polynomial equations. When we switch from monomials to Chebyshev polynomials, we can replace toric varieties with Chebyshev varieties. We will introduce these objects and discuss their main properties, including equations, dimension, and degree. This is an ongoing project with Zaïneb Bel-Afia and Simon Telen.