Polynomial approximation on the discrete cube

by Mr Paata Ivanisvili (UC Irvine)

Monday Nov 3, 2025, 2:00 PM → 3:00 PM Europe/Paris

Amphi Schwartz

I will discuss polynomial approximation problems on the n-dimensional hypercube, focusing on quantitative estimates of the approximation error as n grows. This topic represents a burgeoning area in the analysis of Boolean functions—one that is far less understood than its classical counterpart on the real line. I will present several recent results together with its applications, as well as highlight ongoing challenges and open problems in the field.