CRC 1442 - A05: Moduli spaces of local shtukas in mixed characteristic
Basic data for this project
Type of project: Subproject in DFG-joint project hosted at University of Münster
Duration at the University of Münster: 01/07/2024 - 30/06/2028 | 1st Funding period
Description
We study the geometry and cohomology of moduli spaces of local G-shtukas, a class of moduli spaces that plays a central role in the geometrisation of Langlands correspondences. More precisely, we are interested in the geometry of the image of the period maps, want to investigate étale sheaves on the moduli spaces and aim at the local Langlands correspondence for covering groups via a metaplectic geometric Satake equivalence.
Keywords: Arithmetic Geometry; Representation Theory; Mathematics
Website of the project: https://www.uni-muenster.de/MathematicsMuenster/de/CRC-Geometry/research/projects/a05.html
DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/544082601
Funding identifier: SFB 1442/2, A05 | DFG project number: 427320536
Funder / funding scheme:
- DFG - Collaborative Research Centre (SFB)
Project management at the University of Münster
| Viehmann, Eva | Professorship for Theoretical Mathematics (Prof. Viehmann) |
| Zhao, Yifei | Professorship of Arithmetic Geometry and Representation Theory (Prof. Deninger) |
Applicants from the University of Münster
| Viehmann, Eva | Professorship for Theoretical Mathematics (Prof. Viehmann) |
| Zhao, Yifei | Professorship of Arithmetic Geometry and Representation Theory (Prof. Deninger) |