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Notes on motivic infinite
loop space theory
Tom Bachmann and Elden Elmanto |
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Vol. 6 (2025), 1–62
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DOI: 10.2140/obs.2025.6.1
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Abstract |
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In fall of 2019, the Thursday seminar at Harvard University studied motivic infinite loop space theory. As part of this, the authors gave a series of talks outlining the main theorems of the theory, together with their proofs, in the case of infinite perfect fields. In winter of 2021/2, Bachmann taught a topics course at LMU Munich on strict -invariance of framed presheaves (which is one of the main theorems, but was not covered in detail during the Thursday seminar). These are our extended notes on these topics. |
Keywords
motivic homotopy, infinite loop spaces, framed
correspondences
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Mathematical Subject Classification
Primary: 14F42
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Milestones
Received: 13 April 2022
Revised: 16 August 2022
Accepted: 16 August 2022
Published: 15 March 2025
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Authors |
| Tom Bachmann | |
| Institut für Mathematik Johannes Gutenberg-Universität Mainz Mainz Germany |
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| Elden Elmanto | |
| Department of Mathematics University of Toronto Toronto Canada |
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| © 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
