25/02/2009, 15:00 — 16:00 — Room P3.10, Mathematics Building Francois-Xavier Dehon, Université de Nice
Maps from the classifying space of an elementary abelian group, cohomology theories and elementary abelian subgroups of compact Lie groups
After the work of H. Miller and J. Lannes in the 80's we know that the homotopy classes of maps from BV (V some elementary abelian p-group) to some space are detected by ordinary mod p cohomology. I will review what happens when mod p cohomology is replaced by a complex oriented cohomology theory. As an interesting special case I will consider morphisms from elementary abelian p-groups to compact Lie groups.
