Please use this identifier to cite or link to this item:
http://arks.princeton.edu/ark:/88435/dsp01j098zd81jFull metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Taylor, Richard L | - |
| dc.contributor.author | Pan, Lue | - |
| dc.contributor.other | Mathematics Department | - |
| dc.date.accessioned | 2018-06-12T17:40:02Z | - |
| dc.date.available | 2018-06-12T17:40:02Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.uri | http://arks.princeton.edu/ark:/88435/dsp01j098zd81j | - |
| dc.description.abstract | In this thesis, we prove new cases of Fontaine-Mazur conjecture on two-dimensional Galois representations over Q when the residual representation is reducible. Our approach is via a semi-simple local-global compatibility of the completed cohomology and a Taylor-Wiles patching argument for the completed homology in this case. As a key input, we also generalize works of Skinner-Wiles in the ordinary case. | - |
| 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 | completed cohomology | - |
| dc.subject | Fontaine-Mazur conjecture | - |
| dc.subject | Galois representation | - |
| dc.subject | p-adic local Langlands | - |
| dc.subject.classification | Mathematics | - |
| dc.title | The Fontaine-Mazur conjecture in the residually reducible case | - |
| dc.type | Academic dissertations (Ph.D.) | - |
| pu.projectgrantnumber | 690-2143 | - |
| Appears in Collections: | Mathematics | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Pan_princeton_0181D_12614.pdf | 797.79 kB | Adobe PDF | View/Download |
Items in Dataspace are protected by copyright, with all rights reserved, unless otherwise indicated.