In mixed characteristic and in equal characteristic pp we define a filtration on topological
Hochschild homology and its variants. This filtration is an analogue of the filtration of …

The stable homotopy category, much studied by algebraic topologists, is a closed symmetric
monoidal category. For many years, however, there has been no well-behaved closed …

In this paper we establish a universal characterization of higher algebraic K–theory in the
setting of small stable∞–categories. Specifically, we prove that connective algebraic K …

Some recent advances in topological Hochschild homology - Mathew - 2022 - Bulletin of the
London Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article …

Algebraic K-theory encodes important invariants for several mathematical disciplines,
spanning from geometric topology and functional analysis to number theory and algebraic …

We show that for a field k of characteristic p, H i (k, ℤ (n)) is uniquely p-divisible for i≠ n (we
use higher Chow groups as our definition of motivic cohomology). This implies that the …

We study the étale sheafification of algebraic K-theory, called étale K-theory. Our main
results show that étale K-theory is very close to a noncommutative invariant called Selmer K …

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 …

.--K*(K, Z/pV)-+ W* A, M) Sz/pv (pV) 1-Ww AM) S/PV)>.. which is exact in degrees> 1. Here
A= OK is the valuation ring and W WA M) is the de Rham-Witt complex of A with log poles at …

Within the framework of dg categories with weak equivalences and duality that have
uniquely 2-divisible mapping complexes, we show that higher Grothendieck–Witt groups …