Project Details
Projekt
Motivic local systems of Calabi–Yau-type (B03)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124
The project aims at a detailed arithmetic study of a certain class of rank four local systems that appear in the cohomology of certain families of Calabi–Yau three-folds with three or four singular points. Contrary to the well-studied 14 hypergeometric cases, these local systems are non-rigid. The precise monodromy groups will be determined, Euler factors for the L-functions of the fibres will be computed and classical and Siegel modular properties and congruences of the fibre motives will be studied. Various methods will be tried to ascertain whether the current list of examples is complete.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Head
Professor Dr. Duco van Straten
