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dc.contributor.advisorLurie, Jacob A.
dc.contributor.authorBrantner, David Lukas Benjamin
dc.date.accessioned2019-08-09T08:45:19Z
dash.embargo.terms2019-05-01
dc.date.created2017-05
dc.date.issued2017-05-13
dc.date.submitted2017
dc.identifier.citationBrantner, David Lukas Benjamin. 2017. The Lubin-Tate Theory of Spectral Lie Algebras. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41140243*
dc.description.abstractWe 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 Andr\'{e}-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.
dc.description.sponsorshipMathematics
dc.format.mimetypeapplication/pdf
dc.language.isoen
dash.licenseLAA
dc.subjectMorava E-theory, Lubin-Tate space, spectral Lie algebras, poset topology, discrete Morse theory, Andre-Quillen homology, monoids, Koszul duality
dc.titleThe Lubin-Tate Theory of Spectral Lie Algebras
dc.typeThesis or Dissertation
dash.depositing.authorBrantner, David Lukas Benjamin
dash.embargo.until2019-05-01
dc.date.available2019-08-09T08:45:19Z
thesis.degree.date2017
thesis.degree.grantorGraduate School of Arts & Sciences
thesis.degree.grantorGraduate School of Arts & Sciences
thesis.degree.levelDoctoral
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
thesis.degree.nameDoctor of Philosophy
dc.contributor.committeeMemberHopkins, Michael J.
dc.contributor.committeeMemberArone, Gregory Z.
dc.type.materialtext
thesis.degree.departmentMathematics
thesis.degree.departmentMathematics
dash.identifier.vireo
dash.author.emaildlbbrantner@gmail.com


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