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Adjoining roots to ring spectra and algebraic K-theory

By Haldun Özgür Bayindir

Appears in collection : Chromatic Homotopy, K-Theory and Functors / Homotopie chromatique, K-théorie et foncteurs

In this work, we start with a new method to adjoin roots to ring spectra. Upon making a new definition of logarithmic THH, we prove that root adjunction is logarithmic THH etale and that it results in interesting splittings in algebraic K-theory. Using this, we obtain new algebraic K-theory computations. This is a joint work with Christian Ausoni and Tasos Moulinos.

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Citation data

  • DOI 10.24350/CIRM.V.19996403
  • Cite this video Bayindir Haldun Özgür (1/24/23). Adjoining roots to ring spectra and algebraic K-theory. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19996403
  • URL https://dx.doi.org/10.24350/CIRM.V.19996403

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