We present a conjecture, based on computational results, on the area
minimizing way to enclose and separate two arbitrary volumes in the flat cubic
3-torus. For comparable small volumes, we prove that an area minimizing double
bubble in the 3-torus is the standard double bubble from R^3.Comment: 13 pages, 4 figures. Prepared on behalf of the participants in the
Clay Mathematics Institute Summer School on the Global Theory of Minimal
Surfaces, held at the Mathematical Sciences Research Institute in Berkeley,
California, Summer 200
