Motives for shtukas and Shimura varieties (C04)

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

The first goal is to calculate the motive of the classifying stack of a reductive group and of the stack of G-zips for a reductive group G defined over a finite field. From this we will build the motive of moduli spaces of local G-shtukas and truncated local G-shtukas, including a generalization to the case of non-constant smooth group schemes G. The third goal is to calculate the motive of the moduli space of truncated G-displays of a fixed type and to apply this to higher Chow groups of Shimura varieties of abelian type.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Heads: Professor Dr. Timo Richarz; Professorin Dr. Eva Viehmann; Professor Dr. Torsten Wedhorn