Chow groups and compactifications of moduli spaces (B07#)

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

Project Description

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