Spectral Algebraic Geometry (B01)

• Subject Area: Mathematics
• Term: since 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 224262486

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
• Subproject of: SFB 1085: Higher Invariants – Interactions between Arithmetic Geometry and Global Analysis
• Applicant Institution: Universität Regensburg
• Project Heads: Professor Dr. Niko Naumann; Dr. Justin Noel, until 5/2018