Special cycles on moduli spaces of G-shtukas (A03)

Subject Area Mathematics
Term from 2020 to 2024
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 427320536
 

Project Description

Moduli stacks of global G-shtukas are the function field analogue of Shimura varieties. Their geometry was investigated by the PI and his collaborators. The long term goal of the project is to investigate arithmetic properties of these moduli stacks, special cycles on them and the intersection numbers of the latter. In particular, we want to develop a function field analogue of the Kudla programme for Shimura varieties and prove arithmetic fundamental lemmas for function fields.
DFG Programme Collaborative Research Centres
Subproject of SFB 1442:  Geometry: Deformations and Rigidity
Applicant Institution Universität Münster
Project Head Professor Dr. Urs Hartl