Barry Jessup - Estimating the rational LS-category of elliptic spaces

An elliptic space is one whose rational homotopy and rational cohomology are both finite dimensional. Using the equality of rational LS category and Toomer's invariant for elliptic spaces, established by Félix, Halperin and Lemaire, we provide new lower bounds for the rational category of elliptic spaces. We do this by proving two special cases of an even dimensional analogue of a theorem which improved the estimate of the Mapping theorem in some settings. Several interesting examples are presented to illustrate the results, which are joint work with Sonia Ghorbal.