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Christian Ausoni (Paris): Adjunction of roots to ring spectra, with applications
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https://youtu.be/Jf-Yt9fRv_Q?si=1dp6iF29Om-2QnkQ This talk was part of the conference "Homotopy theory, K-theory, and trace methods" held in July 2023 at Radboud University, Nijmegen, The Netherlands in honor of Bjørn Ian Dundas' 60th birthday. Abstract: Given a ring spectrum A and a class a in the homotopy groups of A, we define under suitable assumptions an extension ring spectra realizing the adjunction of a root of a. This provides examples of tamely ramified extensions of rings spectra, with spliting results in topological Hochschild homology and algebraic K-theory of the extension. This is joint work with Haldun Özgür Bayındır and Tasos Moulinos.
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