L-packets of p-adic automorphic forms (B06)

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

In this project we study endoscopic aspects of Langlands functoriality in the p-adic Lang¬lands programme. The aim of the first subproject is to construct new examples of p-adic endoscopic automorphic forms for classical groups such as symplectic, orthogonal or unitary groups. In the second subproject we will study the geometry of eigenvarieties at endoscopic points. In the third subproject we will investigate consequences of our previous work on p-adic L-packets of the group SL(2) for the p-adic local Langlands correspondence for SL(2).

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Head: Dr. Judith Ludwig