POSTGRAD RESEARCH STUDENTS' SEMINAR

Title: A partition of the unit sphere S^d with equal measure and small diameter

Speaker: Paul Leopardi UNSW

Date: Thursday, September 16
Time: 1pm
Room: Red Centre 4083
Afternoon tea to follow in common room

A construction is given for a partition of the unit sphere $\mathbb{S}^d$ in
$\mathbb{R}^{d+1}$, called the \emph{Recursive Zhou--Saff--Sloan} or
\emph{RZ} partition.

For $d \leqslant 8$, there is a constant $K_d$ such that
each region in the $N$ region RZ partition of $\mathbb{S}^d$
has equal measure and diameter at most $K_d / N^{1/d}$.