Cohomology of Higher-Dimensional Schemes (A01)

• Subject Area: Mathematics
• Term: from 2014 to 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 224262486

Some central invariants in the arithmetic of varieties over finite, local and global fields are obtained by the computation of various cohomology groups. Here one encounters unramified, tamely ramified and wildly ramified phenomena. In the second period of this project we will continue to study local-global principles in various situations, apply new duality theorems for studying wild ramification of sheaves and schemes, and complete a cohomology theory which relates to various other p-adic theories.

• 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. Uwe Jannsen, until 2/2020; Professor Dr. Moritz Kerz