Tutte Colloquium - Robert Morris
Title: Flat Littlewood Polynomials Exist
Speaker: | Robert Morris |
Affliation: | IMPA (Instituto de Matemática Pura e Aplicada) |
Zoom: | Please email Emma Watson |
Abstract:
In a Littlewood polynomial, all coefficients are either 1 or -1. Littlewood proved many beautiful theorems about these polynomials over his long life, and in his 1968 monograph he stated several influential conjectures about them. One of the most famous of these was inspired by a question of Erdos, who asked in 1957 whether there exist "flat" Littlewood polynomials of degree n, that is, with |P(z)| of order n^{1/2} for all (complex) z with |z| = 1.