This project has a focus on Shimura varieties. Shimura varieties form a bridge between complex and arithmetic geometry, with important applications to number theory and arithmetic. Shimura varieties are moduli spaces strongly related to period domains, and therefore play an essential role in TRR 45. The foundational research on reduction of Shimura varieties and local models continues, as well as the work on special subvarieties and arithmetic cycles. There will be an extension of the scope to Griffiths domains and mixed Shimura varieties. New working packages involve completed cohomology, p-adic L-functions, and Quiver Schur algebras.
DFG Programme
CRC/Transregios
