105 citations · 211 across the 11 of their papers we have counts for
12 papers
Descent and vanishing in chromatic algebraic -theory via group actions
Dustin Clausen, Akhil Mathew, Niko Naumann +1
We prove some -theoretic descent results for finite group actions on stable -categories, including the -group case of the Galois descent conjecture of Ausoni-Rognes.…
The Balmer spectrum of the equivariant homotopy category of a finite abelian group
Tobias Barthel, Markus Hausmann, Niko Naumann +3
For a finite abelian group , we determine the Balmer spectrum of , the compact objects in genuine -spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{…
Descent in algebraic -theory and a conjecture of Ausoni-Rognes
Dustin Clausen, Akhil Mathew, Niko Naumann +1
Let be a -Galois extension of rings, or more generally of -ring spectra in the sense of Rognes. A basic question in algebraic -theory asks how cl…
Nilpotence and descent in equivariant stable homotopy theory
Akhil Mathew, Niko Naumann, Justin Noel
Let be a finite group and let be a family of subgroups of . We introduce a class of -equivariant spectra that we call -nilpotent. This definiti…
Derived induction and restriction theory
Akhil Mathew, Niko Naumann, Justin Noel
Let be a finite group. To any family of subgroups of , we associate a thick -ideal of the category of -spectra with th…
Nilpotence in the symplectic bordism ring
Justin Noel
We prove a folklore result which gives a sequence of necessary and sufficient conditions for a stably symplectic manifold to define a nilpotent element in the symplectic bordism ri…
On a nilpotence conjecture of J.P. May
Akhil Mathew, Niko Naumann, Justin Noel
We prove a conjecture of J.P. May concerning the nilpotence of elements in ring spectra with power operations, i.e., -ring spectra. Using an explicit nilpotence bound on…
The T-algebra spectral sequence: Comparisons and applications
Justin Noel
In previous work with Niles Johnson the author constructed a spectral sequence for computing homotopy groups of spaces of maps between structured objects such as G-spaces and E_n-r…
Lifting homotopy T-algebra maps to strict maps
Niles Johnson, Justin Noel
The settings for homotopical algebra---categories such as simplicial groups, simplicial rings, spaces, ring spectra, etc.---are often equivalent to categories…
Simplicial approach to derived differential manifolds
Dennis Borisov, Justin Noel
Derived differential manifolds are constructed using the usual homotopy theory of simplicial rings of smooth functions. They are proved to be equivalent to derived differential man…
H-infinity is not E-infinity
Justin Noel
We provide an example of a spectrum over S^0 with an H_\infty structure which does not rigidify to an E_3 structure. It follows that in the category of spectra over S^0 not every H…
For Complex Orientations Preserving Power Operations, p-typicality is Atypical
Niles Johnson, Justin Noel
We show, for primes p less than or equal to 13, that a number of well-known MU_(p)-rings do not admit the structure of commutative MU_(p)-algebras. These spectra have complex orien…