p-adic group algebras (A02)

• Subject Area: Mathematics
• Term: from 2010 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 129719356

p-adic group rings play a central role in several areas of number theory, most prominently in the p-adic Langlands program and in Iwasawa theory. We plan to systematically develop derived methods in the p-adic Langlands program. First steps will be to understand the cohomology algebra of the previously constructed differential graded Hecke algebra and possibly to categorify the latter. In Iwasawa theory we will continue the investigation of Iwasawa cohomology with applications to regulator maps and reciprocity laws.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 878: Groups, Geometry and Actions
• Applicant Institution: Universität Münster
• Project Heads: Professorin Dr. Sarah Scherotzke; Professor Dr. Peter Schneider