CRC TRR 326 - SP C04: Motives for shtukas and Shimura varieties

Basic data for this project

Type of projectSubproject in DFG-joint project hosted outside University of Münster
Duration at the University of Münster01/01/2022 - 30/06/2025 (Initial start date: 01/07/2021) | 1st Funding period

Description

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.

KeywordsShtuka; Shimura varieties
Website of the projecthttps://crc326gaus.de
DFG-Gepris-IDhttps://gepris.dfg.de/gepris/projekt/466537910
Funding identifierTRR 326/1, C4 | DFG project number: 444845124
Funder / funding scheme
  • DFG - Collaborative Research Centre (SFB)

Project management at the University of Münster

Viehmann, Eva

Applicants from the University of Münster

Viehmann, Eva

Project partners outside the University of Münster

  • Technical University of Darmstadt (TU Darmstadt)Germany

Coordinating organisations outside the University of Münster

  • Goethe University Frankfurt am MainGermany

Organisations outside the University of Münster the project was previously carried out

  • Technical University of Munich (TUM)Germany

Related main project

Duration: 01/01/2022 - 30/06/2029
Funded by: DFG - Collaborative Research Centre
Type of project: Main DFG-project hosted outside University of Münster