Markus Hausmann: Invariant prime ideals in equivariant Lazard rings

The thick subcategory theorem of Hopkins-Smith can be formulated as saying that the Balmer spectrum of finite spectra is homeomorphic to the Zariski spectrum of invariant prime ideals of the Lazard ring, with the comparison map given through complex bordism. In my talk I will explain that the analogous statement is true A-equivariantly for every abelian compact Lie group A. This is joint work with Lennart Meier.