2026-09-19T23:46:21Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/778072022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Haynes R. Miller.
Stroilova, Olga (Olga Y.)
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2013-03-13T15:49:23Z
2013-03-13T15:49:23Z
2012
2012
http://hdl.handle.net/1721.1/77807
828409267
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.
70 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
The generalized Tate construction
Thesis
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