Using topological cyclic homology, we give a refinement of Beilinson'sp-adic Goodwillie
isomorphism between relative continuous K-theory and cyclic homology. As a result, we …

In this article, we study the topological Hochschild homology of $\mathbf {E} _3 $-forms of
truncated Brown-Peterson spectra, taken relative to certain Thom spectra $ X (p^ n) …

We consider derived invariants of varieties in positive characteristic arising from topological
Hochschild homology. Using theory developed by Ekedahl and Illusie-Raynaud in their …

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 …

On noncommutative crystalline cohomology Page 1 Proceedings of Symposia in Pure
Mathematics On noncommutative crystalline cohomology Boris Tsygan Abstract. We outline …

In [27], Stanley shows that the homotopy category of differential graded algebras is
equivalent to the homotopy category of HZ–algebras. Later, Shipley [26] improves this …