Moduli spaces of local shtukas in mixed characteristic (A05*)

• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 427320536

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.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1442: Geometry: Deformations and Rigidity
• Applicant Institution: Universität Münster
• Project Heads: Dr. Joao Lourenco; Professorin Dr. Eva Viehmann; Dr. Yifei Zhao