Higher dimensional anabelian geometry (B01)

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

The main objective is to deepen our understanding of anabelian phenomena in higher dimension; in particular, to find more anabelian varieties over absolute finitely generated fields of characteristic zero and to obtain first results in positive characteristics. Moreover, we plan to investigate the motivic character of the étale homotopy type, i.e., the question to what extend the A1-homotopy type of a variety over an absolutely finitely generated fields is determined by its étale homotopy type.

• 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. Alexander Schmidt; Professor Dr. Jakob Stix