Torsion in the Coherent Cohomology of Shimura Varieties and Galois Representations

Taylor, RichardBoxer, George A.2015-07-172015-052015-05-182015Boxer, George A. 2015. Torsion in the Coherent Cohomology of Shimura Varieties and Galois Representations. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.http://nrs.harvard.edu/urn-3:HUL.InstRepos:17467247We 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.application/pdfenMathematicsTorsion in the Coherent Cohomology of Shimura Varieties and Galois RepresentationsThesis or Dissertation2015-07-17