Adjunction of roots, algebraic -theory and chromatic redshift
C Ausoni, HÖ Bayındır, T Moulinos - arXiv preprint arXiv:2211.16929, 2022 - arxiv.org
Given an $ E_1 $-ring $ A $ and a class $ a\in\pi_ {mk}(A) $ satisfying a suitable hypothesis,
we define a map of $ E_1 $-rings $ A\to A (\sqrt [m]{a}) $ realizing the adjunction of an $ m …
we define a map of $ E_1 $-rings $ A\to A (\sqrt [m]{a}) $ realizing the adjunction of an $ m …
Extension DGAs and topological Hochschild homology
HÖ Bayındır - Algebraic & Geometric Topology, 2023 - msp.org
We study differential graded algebras (DGAs) that arise from ring spectra through the
extension of scalars functor. Namely, we study DGAs whose corresponding Eilenberg–Mac …
extension of scalars functor. Namely, we study DGAs whose corresponding Eilenberg–Mac …