Tuen-Wai Ng, HKU, Hong Kong

Borcea's variance conjecture on the critical points of polynomials

Abstract

One of the main open problems in geometry of polynomials is the Sendovʼs conjecture on the location of critical points of a polynomial of one complex variable. Recently, J. Borcea has suggested a new approach to Sendov’s conjecture through his variance conjecture. In this talk we will give an introduction to Borcea's variance conjecture.