Rigid meromorphic cocycles on Drinfeld period domains (A07)

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

This project investigates geometric and automorphic aspects related to Drinfeld period domains. We will study open questions on higher rank Drinfeld cusp forms and complete work on the Jacquet-Langlands correspondence. Focussing on automorphic type aspects and motivated by recent seminal work of Darmon and Vonk, we will develop a theory of rigid meromorphic cocycles over global function fields, with an initial focus on GL(2). The project also treats questions on rigid meromorphic cocylces over the p-adic period domain involving p-adic families of automorphic forms.

• 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. Gebhard Böckle; Professorin Dr. Judith Ludwig