Geodesic
On the relationship between logarithmic TAQ and logarithmic THH
Documenta mathematica, Tome 26 (2021), pp. 1187-1236.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We provide a new description of logarithmic topological André-Quillen homology in terms of the indecomposables of an augmented ring spectrum. The new description allows us to interpret logarithmic TAQ as an abstract cotangent complex, and leads to a base-change formula for logarithmic topological Hochschild homology. The latter is analogous to results of Weibel-Geller for Hochschild homology of discrete rings, and of McCarthy-Minasian and Mathew for topological Hochschild homology. For example, our results imply that logarithmic THH satisfies base-change for tamely ramified extensions of discrete valuation rings.
Classification : 55P43, 14F10, 19D55
Keywords: topological Hochschild homology, topological André-Quillen homology, logarithmic structures 
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     author = {Lundemo, Tommy},
     title = {On the relationship between logarithmic {TAQ} and logarithmic {THH}},
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Lundemo, Tommy. On the relationship between logarithmic TAQ and logarithmic THH. Documenta mathematica, Tome 26 (2021), pp. 1187-1236. http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a25/