Shimura Varieties (M06(B7/B10/B11))

• Subject Area: Mathematics
• Term: from 2011 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 30164218

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
• Subproject of: TRR 45: Periods, Moduli Spaces and Arithmetic of Algebraic Varieties
• Applicant Institution: Johannes Gutenberg-Universität Mainz
• Co-Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn; Universität Duisburg-Essen; Campus Essen (aufgelöst)
• Project Heads: Professor Dr. Massimo Bertolini; Professor Dr. Ulrich Görtz; Professor Dr. Eugen Hellmann, until 9/2017; Professor Dr. Stefan Müller-Stach; Professor Dr. Vytautas Paskunas; Professor Dr. Michael Rapoport; Professor Dr. Peter Scholze; Professorin Dr. Catharina Stroppel; Professorin Dr. Eva Viehmann, until 8/2012; Professor Dr. Kang Zuo