Iwasawa cohomology of Galois representations (B05)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124

The goal of the first subproject consists of constructing epsilon-isomorphisms (Local Tamagawa Number Conjecture) in new cases related to the setting of Lubin–Tate formal groups. The second subproject concerns the systematic study of families of (ϕ,Γ)-modules parametrised by adic spaces. Within the third subproject we would like to extend the work of Fukaya–Kato to families of Galois representations parametrised by adic spaces. Finally we would like to construct new Lubin–Tate regulator maps as part of the fourth subproject.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Head: Professor Dr. Otmar Venjakob