Descent in algebraic K-theory and a conjecture of Ausoni-Rognes

Autor: Niko Naumann, Akhil Mathew, Justin Noel, Dustin Clausen

Publikováno v: Clausen, D, Mathew, A, Naumann, N & Noel, J 2020, ' Descent in algebraic K-theory and a conjecture of Ausoni-Rognes ', Journal of the European Mathematical Society, vol. 22, no. 4, pp. 1149-1200 . https://doi.org/10.4171/JEMS/942

Let $A \to B$ be a $G$-Galois extension of rings, or more generally of $\mathbb{E}_\infty$-ring spectra in the sense of Rognes. A basic question in algebraic $K$-theory asks how close the map $K(A) \to K(B)^{hG}$ is to being an equivalence, i.e., how

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e32d6e2e5384e70885a742b252b30b62
https://curis.ku.dk/portal/da/publications/descent-in-algebraic-ktheory-and-a-conjecture-of-ausonirognes(c28ca87c-85e2-427a-b5eb-ac848eda9b01).html

The Balmer spectrum of the equivariant homotopy category of a finite abelian group

Autor: Markus Hausmann, Nathaniel Stapleton, Justin Noel, Niko Naumann, Tobias Barthel, Thomas Nikolaus

Publikováno v: Inventiones Mathematicae

For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establi

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Nilpotence and descent in equivariant stable homotopy theory

Autor: Justin Noel, Akhil Mathew, Niko Naumann

Let $G$ be a finite group and let $\mathscr{F}$ be a family of subgroups of $G$. We introduce a class of $G$-equivariant spectra that we call $\mathscr{F}$-nilpotent. This definition fits into the general theory of torsion, complete, and nilpotent ob

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a08e3c853a002602737128e53947187b
http://arxiv.org/abs/1507.06869

Lifting homotopy T-algebra maps to strict maps

Autor: Justin Noel, Niles Johnson

Publikováno v: Advances in Mathematics

The settings for homotopical algebra---categories such as simplicial groups, simplicial rings, $A_\infty$ spaces, $E_\infty$ ring spectra, etc.---are often equivalent to categories of algebras over some monad or triple $T$. In such cases, $T$ is acti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fed88bf90d6e6679de52429741133167
http://arxiv.org/abs/1301.1511

Screw Fixation of Cementless Acetabular Cups in the Deficient Acetabulum

Autor: Philip C. Noble, Justin Noel, Marco Bosselmann, K. B Mathis, Richard F. Santore, Jerry W. Alexander

Publikováno v: The Journal of Arthroplasty. 22:314

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bbf8eefcf9ff718beea8ee9b878da1d1
https://doi.org/10.1016/j.arth.2006.12.095