Motivic and homotopical methods in classical and p-adic Hodge theory

• Applicant: Professorin Dr. Annette Huber-Klawitter
• Subject Area: Mathematics
• Term: from 2015 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 269686410

The main long term aim of this proposal is the construction of realisation functors on the category of motives with values in Saito's derived category of mixed Hodge modules and in a yet to be defined p-adic version. We propose to use homotopic and motivic methods, most notably infinity categories and the h-topology.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1786: Homotopy Theory and Algebraic Geometry