Geometric Langlands in prime characteristic
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2012
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| Online Access: | http://hdl.handle.net/1721.1/73359 |
| _version_ | 1811089452144001024 |
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| author | Chen, Tsao-Hsien |
| author2 | Roman Bezrukavnikov. |
| author_facet | Roman Bezrukavnikov. Chen, Tsao-Hsien |
| author_sort | Chen, Tsao-Hsien |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012. |
| first_indexed | 2024-09-23T14:19:24Z |
| format | Thesis |
| id | mit-1721.1/73359 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T14:19:24Z |
| publishDate | 2012 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/733592019-04-11T07:48:09Z Geometric Langlands in prime characteristic Chen, Tsao-Hsien Roman Bezrukavnikov. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012. Cataloged from PDF version of thesis. Includes bibliographical references (p. 109-110). Let C be a smooth projective curve over an algebraically closed field k of sufficiently large characteristic. Let G be a semisimple algebraic group over k and let GV be its Langlands dual group over k. Denote by BunG the moduli stack of G-bundles on C and LocSysGv the moduli stack of Gv-local systems on C. Let DBunG be the sheaf of crystalline differential operator algebra on BunG. In this thesis I construct an equivalence between the derived category D(QCoh(LocSys~v)) of quasi-coherent sheaves on some open subset LocSysov C LocSysGv and derived category D(DOunG mod) of modules over some localization DBunG of DBunG. This generalizes the work of Bezrukavnikov-Braverman in the GL, case. by Tsao-Hsien Chen. Ph.D. 2012-09-27T15:25:09Z 2012-09-27T15:25:09Z 2012 2012 Thesis http://hdl.handle.net/1721.1/73359 809543658 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 110 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Chen, Tsao-Hsien Geometric Langlands in prime characteristic |
| title | Geometric Langlands in prime characteristic |
| title_full | Geometric Langlands in prime characteristic |
| title_fullStr | Geometric Langlands in prime characteristic |
| title_full_unstemmed | Geometric Langlands in prime characteristic |
| title_short | Geometric Langlands in prime characteristic |
| title_sort | geometric langlands in prime characteristic |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/73359 |
| work_keys_str_mv | AT chentsaohsien geometriclanglandsinprimecharacteristic |