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Title: Coherent cohomology of Shimura varieties and automorphic forms
Authors: Su, Jun
Advisors: Taylor, Richard L.
Contributors: Mathematics Department
Keywords: automorphic forms
automorphic vector bundles
Shimura varieties
toroidal compactifications
Subjects: Mathematics
Issue Date: 2019
Publisher: Princeton, NJ : Princeton University
Abstract: In this thesis, we show that the cohomology of canonical extensions of automorphic vector bundles over toroidal compactifications of Shimura varieties can be computed by relative Lie algebra cohomology of automorphic forms. Our result is inspired by and parallel to Borel and Franke's work on the cohomology of automorphic local systems on locally symmetric spaces, and also generalizes a theorem of Mumford.
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog:
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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