Torsion in the Coherent Cohomology of Shimura Varieties and Galois Representations
MetadataShow full item record
CitationBoxer, George A. 2015. Torsion in the Coherent Cohomology of Shimura Varieties and Galois Representations. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.
AbstractWe introduce a method for producing congruences between Hecke eigenclasses, possibly torsion, in the coherent cohomology of automorphic vector bundles on certain good reduction Shimura varieties. The congruences are produced using some ``generalized Hasse invariants'' adapted to the Ekedahl-Oort stratification of the special fiber.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:17467247
- FAS Theses and Dissertations