Project B01 works at the intersection between arithmetic geometry and homotopy theory. Major achievements so far have been significant contributions to the red-shift conjecture of Ausoni-Rognes in algebraic K-theory and progress in equivariant stable homotopy theory, for example, equivariant generalizations of the thick subcategory theorem of Deviantz-Hopkins. In the third funding period, we plan to generalize certain of the equivariant results to the motivic context, and to use recent results of Lurie to construct interesting ring spectra.
DFG Programme
Collaborative Research Centres
