Daniel G. Davis

activity

20052023

most citedCommutative ring objects in pro-categories and generalized Moore spectra

18 citations · 51 across the 22 of their papers we have counts for

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22 papers · 1 filter

math.AT2023

A continuous $p$ -adic action on the $K (2)$ -local algebraic $K$ -theory of $p$ -adic complex $K$ -theory

Daniel G. Davis

Let $p$ be a prime, let $K U_{p}$ be $p$ -complete complex $K$ -theory, and let $Z_{p}^{\times}$ denote the group of units in the $p$ -adic integers. The $p$ -adic Adams operations i…

math.AT2023

Several homotopy fixed point spectral sequences in telescopically localized algebraic $K$ -theory

Daniel G. Davis

Let $n \geq 1$ , $p$ a prime, and $T (n)$ any representative of the Bousfield class of the telescope $v_{n}^{- 1} F (n)$ of a finite type $n$ complex. Also, let $E_{n}$ be the Lubin-Tate sp…

math.AT2021

A computational reduction for many base cases in profinite telescopic algebraic $K$ -theory

Daniel G. Davis

For primes $p \geq 5$ , $K (K U_{p})$ -- the algebraic $K$ -theory spectrum of $(K U)_{p}^{\land}$ , Morava $K$ -theory $K (1)$ , and Smith-Toda complex $V (1)$ , Ausoni and Rognes conjectured (…

math.AT2020★ 1 cited

A construction of some objects in many base cases of an Ausoni-Rognes conjecture

Daniel G. Davis

Let $p$ be a prime, $n \geq 1$ , $K (n)$ the $n$ th Morava $K$ -theory spectrum, $G_{n}$ the extended Morava stabilizer group, and $K (A)$ the algebraic $K$ -theory spectrum of a…

math.AT2019

A lift from group cohomology to spectra for trivial profinite actions

Daniel G. Davis

Let $G$ be a profinite group, $X$ a discrete $G$ -spectrum with trivial action, and $X^{h G}$ the continuous homotopy fixed points. For any $N ⊴_{o} G$ (" $o$ " for open),…

math.AT2016★ 2 cited

Complex orientations for THH of some perfectoid fields

Jack Morava

This sketch argues that work of Hesselholt on the topological Hochschild homology of $\Cp$ extends, using work of Scholze and others, to define complex orientations for a version o…

A continuous p-adic action on the K(2)-local algebraic K-theory of p-adic complex K-theory

Several homotopy fixed point spectral sequences in telescopically localized algebraic K-theory

A computational reduction for many base cases in profinite telescopic algebraic K-theory

A construction of some objects in many base cases of an Ausoni-Rognes conjecture

A lift from group cohomology to spectra for trivial profinite actions

Complex orientations for THH of some perfectoid fields

A continuous $p$ -adic action on the $K (2)$ -local algebraic $K$ -theory of $p$ -adic complex $K$ -theory

Several homotopy fixed point spectral sequences in telescopically localized algebraic $K$ -theory

A computational reduction for many base cases in profinite telescopic algebraic $K$ -theory