The generalized Tate construction
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
2013
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| Online Access: | http://hdl.handle.net/1721.1/77807 |
| _version_ | 1826207837104111616 |
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| author | Stroilova, Olga (Olga Y.) |
| author2 | Haynes R. Miller. |
| author_facet | Haynes R. Miller. Stroilova, Olga (Olga Y.) |
| author_sort | Stroilova, Olga (Olga Y.) |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012. |
| first_indexed | 2024-09-23T13:55:44Z |
| format | Thesis |
| id | mit-1721.1/77807 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T13:55:44Z |
| publishDate | 2013 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/778072019-04-11T02:11:47Z The generalized Tate construction Stroilova, Olga (Olga Y.) Haynes R. Miller. 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. 69-70). The purpose of this work is give some field notes on exploring the idea that a generalized Tate construction tk reduces chromatic level in stable homotopy theory. The first parts introduce the construction and discuss chromatic reduction. The next section makes a computation and gives the duals of L(n) = L(n)1. The last part looks ahead, mentioning how this computation could be extended to finding the duals of Steinberg summands in corresponding Thom spectra of negative representations, L(n)-q, and presents an equivariant loopspace machine. Finally, observations made are pulled together and brought back to compute the base case of the generalized Tate construction, evaluated on a sphere. Results parallel work of A. Cathcart, B. Guillou and P. May, and N. Stapleton, among others. by Olga Stroilova. Ph.D. 2013-03-13T15:49:23Z 2013-03-13T15:49:23Z 2012 2012 Thesis http://hdl.handle.net/1721.1/77807 828409267 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 70 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Stroilova, Olga (Olga Y.) The generalized Tate construction |
| title | The generalized Tate construction |
| title_full | The generalized Tate construction |
| title_fullStr | The generalized Tate construction |
| title_full_unstemmed | The generalized Tate construction |
| title_short | The generalized Tate construction |
| title_sort | generalized tate construction |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/77807 |
| work_keys_str_mv | AT stroilovaolgaolgay thegeneralizedtateconstruction AT stroilovaolgaolgay generalizedtateconstruction |