Abstract Motivic Homotopy Theory
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2017021015476
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2017021015476
Title: | Abstract Motivic Homotopy Theory |
Authors: | Arndt, Peter |
Thesis advisor: | Prof. Dr. Markus Spitzweck |
Thesis referee: | Prof. David Gepner |
Abstract: | We explore motivic homotopy theory over deeper bases than the spectrum of the integers: Starting from a commutative group object in a cartesian closed presentable infinity category, replacing the usual multiplicative group scheme in motivic spaces, we construct projective spaces, and show that infinite dimensional projective space is the classifying space of the group object. After passage to the stabilization, we construct a Snaith spectrum, calculate the cohomology represented by it for projective spaces and on its rationalization produce Adams operations and a splitting into summands of their eigenspaces. |
URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2017021015476 |
Subject Keywords: | motives; homotopy theory; higher categories; K-theory |
Issue Date: | 10-Feb-2017 |
License name: | Namensnennung-NichtKommerziell-KeineBearbeitung 3.0 Unported |
License url: | http://creativecommons.org/licenses/by-nc-nd/3.0/ |
Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
File | Description | Size | Format | |
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thesis_arndt.pdf | Präsentationsformat | 552,05 kB | Adobe PDF | thesis_arndt.pdf View/Open |
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