Author: J.P.C.Greenlees Institution: University of Sheffield, UK Title: Rational SO(3)-equivariant cohomology theories Abstract: The results of previous work for the circle and O(2) are used to give an explicit algebraic model of the category of rational SO(3)-spectra. This gives a complete classification of rational SO(3)-equivariant cohomology theories. A number of new features appear for the first time for this group. Status: To appear in the Proceedings of the 1999 Boulder Conference (Contemporary maths.)