Northwestern University

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Filtering by: Keyword homotopy theory Resource type Dissertation Subject Mathematics

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Equivariant, parameterized, and chromatic homotopy theory

Description:

In this thesis, we advocate for the use of slice spheres, a common generalization of representation spheres and induced spheres, in parameterized homotopy theory. First, we give an algebraic characterization of the layers of the Hill-Hopkins-Ravenel slice filtration. Next, we explore the homology of parameterized symmetric powers from this point...

Keyword:

equivariant, chromatic, and homotopy theory

Subject:

Mathematics

Creator:

Dylan Wilson

Owner:

Scholarly Digital Publishing

Date Uploaded:

03/30/2018

Date Modified:

03/30/2018

Date Created:

2017-01-01

Resource Type:

Dissertation
Geometrically Modelling the Lubin-Tate Action

Description:

The action of the automorphisms of a formal group on its deformation space is crucial to understanding periodic families in the homotopy groups of spheres and the unsolved Hecke orbit conjecture for unitary Shimura varieties. This action is called the Lubin-Tate action. We first show sufficient conditions for geometrically modelling...

Keyword:

algebraic geometry, homotopy theory, and arithmetic geometry

Subject:

Mathematics

Creator:

Ray, Catherine

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

08/23/2023

Date Created:

2023-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_1013588 and http://dissertations.umi.com/northwestern:16756