Truncations of shtukas and Shimura varieties (C04)

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

The project extends the definition of truncated local shtukas to the global setting in the function field case and studies these spaces via geometrization in analogy with the local case. We aim to obtain explicit Traverso bounds. Moreover, we study truncated period maps for integral models of Shimura varieties with good reduction and their toroidal compactifications using syntomic realizations. To extend these ideas to bad reduction integral models we work towards a uniform moduli description for local models.

• 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