Green currents on Shimura varieties (A04)

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

We aim to study different constructions of Green currents for special cycles on orthogonal and unitary Shimura varieties, as well as their applications in the context of Arakelov geometry. In particular, we are interested in the corresponding classes in arithmetic Chow groups for higher codimension cycles, their generating series, and connections to automorphic L-functions. We shall also investigate higher automorphic Green functions and periods of associated meromorphic differentials.

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