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Norms in motivic homotopy theory/ Tom Bachmann and Marc Hoyois

By: Contributor(s): Material type: TextTextSeries: Asterisque ; 425Publication details: Paris: Societe Mathematique de france, 2021Description: x, 210 pages, 23 cmISBN:
  • 9782856299395
Subject(s): DDC classification:
  • 23 514.24 As853
Contents:
Introduction -- Preliminaries -- Norms of pointed motivic spaces -- Norms of motivic spectra -- Properties of norms -- Coherence of norms -- Normed motivic spectra -- The norm-pullback pushforward adjunctions -- Spectra over profinite groupoids -- Norms and Grothendieck's Galois theory -- Norms and Betti realization -- Norms and localization -- Norms and the slice filtration -- Norms of cycles -- Norms of linear ∞-categories -- Motivic thom spectra -- The Nisnevich topology -- Detecting effectivity -- Categories of spans -- Relative adjunctions -- Table of notation
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Includes bibliographical references

Introduction -- Preliminaries -- Norms of pointed motivic spaces -- Norms of motivic spectra -- Properties of norms -- Coherence of norms -- Normed motivic spectra -- The norm-pullback pushforward adjunctions -- Spectra over profinite groupoids -- Norms and Grothendieck's Galois theory -- Norms and Betti realization -- Norms and localization -- Norms and the slice filtration -- Norms of cycles -- Norms of linear ∞-categories -- Motivic thom spectra -- The Nisnevich topology -- Detecting effectivity -- Categories of spans -- Relative adjunctions -- Table of notation

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