|LAURA SCULL, Department of Mathematics, University of Chicago, Chicago, Illinois 60637, USA|
|Rational S1-equivariant homotopy theory|
I will discuss an algebraicization of rational S1-equivariant homotopy theory. There is an algebraic category of ``T-systems'' which is equivalent to the homotopy category of rational S1-simply connected S1-spaces. There is also a theory of ``minimal models'' for T-systems, analogous to Sullivan's minimal algebras. Each S1-space has an associated minimal T-system which encodes all of its rational homotopy information, including its rational equivariant cohomology and Postnikov decomposition.