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Harvard University

1. Brantner, David Lukas Benjamin. The Lubin-Tate Theory of Spectral Lie Algebras.

Degree: PhD, 2017, Harvard University

We use equivariant discrete Morse theory to establish a general technique in poset topology and demonstrate its applicability by computing various equivariant properties of the partition complex and related posets in a uniform manner. Our technique gives new and purely combinatorial proofs of results on algebraic and topological André-Quillen homology. We then carry out a general study of the relation between monadic Koszul duality and unstable power operations. Finally, we combine our techniques to compute the operations which act on the homotopy groups K(n)-local Lie algebras over Lubin-Tate space.

Mathematics

Advisors/Committee Members: Lurie, Jacob A. (advisor), Hopkins, Michael J. (committee member), Arone, Gregory Z. (committee member).

Subjects/Keywords: Morava E-theory; Lubin-Tate space; spectral Lie algebras; poset topology; discrete Morse theory; Andre-Quillen homology; monoids; Koszul duality

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Brantner, D. L. B. (2017). The Lubin-Tate Theory of Spectral Lie Algebras. (Doctoral Dissertation). Harvard University. Retrieved from http://nrs.harvard.edu/urn-3:HUL.InstRepos:41140243

Chicago Manual of Style (16th Edition):

Brantner, David Lukas Benjamin. “The Lubin-Tate Theory of Spectral Lie Algebras.” 2017. Doctoral Dissertation, Harvard University. Accessed December 11, 2019. http://nrs.harvard.edu/urn-3:HUL.InstRepos:41140243.

MLA Handbook (7th Edition):

Brantner, David Lukas Benjamin. “The Lubin-Tate Theory of Spectral Lie Algebras.” 2017. Web. 11 Dec 2019.

Vancouver:

Brantner DLB. The Lubin-Tate Theory of Spectral Lie Algebras. [Internet] [Doctoral dissertation]. Harvard University; 2017. [cited 2019 Dec 11]. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:41140243.

Council of Science Editors:

Brantner DLB. The Lubin-Tate Theory of Spectral Lie Algebras. [Doctoral Dissertation]. Harvard University; 2017. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:41140243

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