Motives and the Langlands programme (B07)

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

This project investigates a categorical approach towards a motivic Langlands decom-position over global function fields. The first subproject investigates extensions of the motivic Satake equivalence to include motivic constant term functors, twisted reductive groups and relative versions over Beilinson–Drinfeld affine Grassmannians. The second subproject aims at constructing derived versions of Drinfeld’s lemma for different cohomology theories with a view towards a motivic Drinfeld lemma. In the third subproject we work towards a motivic (categorical) Langlands decomposition for abelian and non-abelian reductive groups, with possible applications to questions of "independence of l".

• 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. Timo Richarz