33 citations · 79 across the 10 of their papers we have counts for
12 papers
Condensed Mathematics and Complex Geometry
Dustin Clausen, Peter Scholze
This is a slightly revised version of lectures notes for a course in Summer 2022 joint between Bonn and Copenhagen, intended as a stable citable version. The goal of this course is…
Weil-Moore anima
Dustin Clausen
The Weil group of a number field is a refinement of its absolute Galois group arising from class field theory. The passage from Galois to Weil is important in several places in num…
Duality and linearization for p-adic lie groups
Dustin Clausen
We promote Lazard's Poincaré duality for p-adic Lie groups to spectrum coefficients. The key aspect is the determination of the dualizing object in terms of "linear" data, namely t…
The reductive Borel-Serre compactification as a model for unstable algebraic K-theory
Dustin Clausen, Mikala Ørsnes Jansen
Let be an associative ring and a finitely generated projective -module. We introduce a category and prove several theorems which show that its ge…
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.…
Remarks on -local -theory
Bhargav Bhatt, Dustin Clausen, Akhil Mathew
We prove two basic structural properties of the algebraic -theory of rings after -localization at an implicit prime . Our first result (also recently obtained by Land--…
Hyperdescent and étale K-theory
Dustin Clausen, Akhil Mathew
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-theory and topological cyclic homology of henselian pairs
Dustin Clausen, Akhil Mathew, Matthew Morrow
Given a henselian pair of commutative rings, we show that the relative -theory and relative topological cyclic homology with finite coefficients are identified via the…
A K-theoretic approach to Artin maps
Dustin Clausen
We define a functorial "Artin map" attached to any small -linear stable -category, which in the case of perfect complexes over a global field recovers the usual Art…
A short proof of telescopic Tate vanishing
Dustin Clausen, Akhil Mathew
We give a short proof of a theorem of Kuhn that Tate constructions for finite group actions vanish in telescopically localized stable homotopy theory. In particular, we observe tha…
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…
p-adic J-homomorphisms and a product formula
Dustin Clausen
One-point compactification turns real vector spaces into spheres. In homotopy theory, this transformation gets encoded in a map called the "real J-homomorphism". Here we define and…