Some recent advances in topological Hochschild homology - Mathew - 2022 - Bulletin of the
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We show that an important classical fixed-point invariant, the Reidemeister trace, arises as a
topological Hochschild homology transfer. This generalizes a corresponding classical result …

We refine several results of Bhatt-Morrow-Scholze on THH to THR. In particular, we compute
THR of perfectoid rings in which 2 is invertible. This will be useful for establishing motivic …

We construct localization cofibration sequences for the topological Hochschild homology
(THH) and topological cyclic homology (TC) of small spectral categories. Using a global …

In this paper certain filtrations of topological Hochschild homology and topological cyclic
homology are examined. As an example we show how the filtration with respect to a …

The cyclic bar construction in symmetric spectra and Bökstedt's original construction are two
possible ways to define the topological Hochschild homology of a symmetric ring spectrum …

We study the logarithmic topological Hochschild homology of ring spectra with logarithmic
structures and establish localization sequences for this theory. Our results apply, for …

Я вижг й и и гжн Д зЕИ л л аа и и гжн г вгвЙ гббйЙ и и к з изК Ф бб НКН з глз и и и з и гжн
з згбгжд иг и и гжн ЁЫ вижг й н гжгл о в Фг н в О℄ Дз азг П℄ ЕК Ч из г и и гжн Д зЕ ж Ќв и з …

We compute mod (p, v 1) topological Hochschild homology of the connective cover of the K
(1)‐local sphere spectrum for all primes p⩾ 3. This is accomplished using a May‐type …

1.1. Topological cyclic homology is the codomain of the cyclotomic trace from algebraic i^-
theory trc: K (L)-> TC (L). It was defined in [2] but for our purpose the exposition in [6] is more …