Chow groups and compactifications of moduli spaces (B07#)

• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 491392403

In algebraic geometry, moduli spaces are geometric spaces (usually schemes or stacks), whose points represent algebro-geometric objects of a fixed kind. The present project studies geometric and arithmetic aspects of moduli spaces allowing toroidal compactifications. For this, we will consider intersection theoretic and combinatorial properties of so-called Weil and Cartier b-Chow groups. One main goal is an infinite Chern-Weil theory for singular, semipositive, invariant metrics on automorphic vector bundles on mixed Shimura varieties.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 358: Integral Structures in Geometry and Representation Theory
• Applicant Institution: Universität Bielefeld
• Project Head: Professorin Ana Botero