Energy minimisation on a toric grid
Jan Draisma
We discuss a ``checkerboard conjecture'' that states that the
(globally) energy-minimising configurations of |G|/2 repelling particles
on a toric grid G=(Z/n_1 Z) x ... x (Z/n_d Z) with all n_i even are the
two checkerboard configurations
{a|sum_i a_i even} and {a|sum_i a_i odd}.
This is joint work with Niek Bouman and Johan van Leeuwaarden.