Connections on conformal blocks
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
| Published: |
Massachusetts Institute of Technology
2011
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/67813 |
| _version_ | 1826189042146869248 |
|---|---|
| author | Rozenblyum, Nikita |
| author2 | Jacob Lurie. |
| author_facet | Jacob Lurie. Rozenblyum, Nikita |
| author_sort | Rozenblyum, Nikita |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011. |
| first_indexed | 2024-09-23T08:08:37Z |
| format | Thesis |
| id | mit-1721.1/67813 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T08:08:37Z |
| publishDate | 2011 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/678132022-01-13T07:54:35Z Connections on conformal blocks Rozenblyum, Nikita Jacob Lurie. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Department of Mathematics Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011. Cataloged from PDF version of thesis. Includes bibliographical references (p. 66-67). For an algebraic group G and a projective curve X, we study the category of D-modules on the moduli space Bung of principal G-bundles on X using ideas from conformal field theory. We describe this category in terms of the action of infinitesimal Hecke functors on the category of quasi-coherent sheaves on Bung. This family of functors, parametrized by the Ran space of X, acts by averaging a quasi-coherent sheaf over infinitesimal modifications of G-bundles at prescribed points of X. We show that sheaves which are, in a certain sense, equivariant with respect to infinitesimal Hecke functors are exactly D-modules, i.e. quasi-coherent sheaves with a flat connection. This gives a description of flat connections on a quasi-coherent sheaf on Bung which is local on the Ran space. by Nikita Rozenblyum. Ph.D. 2011-12-19T19:00:52Z 2011-12-19T19:00:52Z 2011 2011 Thesis http://hdl.handle.net/1721.1/67813 767908297 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 67 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Rozenblyum, Nikita Connections on conformal blocks |
| title | Connections on conformal blocks |
| title_full | Connections on conformal blocks |
| title_fullStr | Connections on conformal blocks |
| title_full_unstemmed | Connections on conformal blocks |
| title_short | Connections on conformal blocks |
| title_sort | connections on conformal blocks |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/67813 |
| work_keys_str_mv | AT rozenblyumnikita connectionsonconformalblocks |