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http://arks.princeton.edu/ark:/88435/dsp01ff365812gFull metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Taylor, Richard L. | - |
| dc.contributor.author | Su, Jun | - |
| dc.contributor.other | Mathematics Department | - |
| dc.date.accessioned | 2019-11-05T16:46:11Z | - |
| dc.date.available | 2019-11-05T16:46:11Z | - |
| dc.date.issued | 2019 | - |
| dc.identifier.uri | http://arks.princeton.edu/ark:/88435/dsp01ff365812g | - |
| dc.description.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. | - |
| dc.language.iso | en | - |
| dc.publisher | Princeton, NJ : Princeton University | - |
| dc.relation.isformatof | The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog: <a href=http://catalog.princeton.edu> catalog.princeton.edu </a> | - |
| dc.subject | automorphic forms | - |
| dc.subject | automorphic vector bundles | - |
| dc.subject | Shimura varieties | - |
| dc.subject | toroidal compactifications | - |
| dc.subject.classification | Mathematics | - |
| dc.title | Coherent cohomology of Shimura varieties and automorphic forms | - |
| dc.type | Academic dissertations (Ph.D.) | - |
| Appears in Collections: | Mathematics | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Su_princeton_0181D_12919.pdf | 546.18 kB | Adobe PDF | View/Download |
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