## References

SHOWING 1-10 OF 58 REFERENCES

### Motivic spectral Mackey functors

- Mathematics
- 2022

. We show that if G is a ﬁnite constant group acting on a scheme X such that | G | ∈ O × X , then the G -equivariant motivic stable homotopy category of X is equivalent to the stabilization of the…

### Remarks on \'etale motivic stable homotopy theory

- 2021

### Motivic colimits and extended powers

- Mathematics
- 2021

. We deﬁne a notion of colimit for diagrams in a motivic category indexed by a presheaf of spaces (e.g. an ´etale classifying space), and we study basic properties of this construction. As a case…

### SPECTRAL ALGEBRAIC GEOMETRY

- Mathematics
- 2020

1.1. A motivating example: elliptic cohomology theories. Generalized cohomology theories are functors which take values in some abelian category. Traditionally, we consider ones which take values in…

### Cdh descent, cdarc descent, and Milnor excision

- MathematicsMathematische Annalen
- 2020

We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh ∞\documentclass[12pt]{minimal}…

### $\eta$-periodic motivic stable homotopy theory over fields

- Mathematics
- 2020

Over any field of characteristic not 2, we establish a 2-term resolution of the $\eta$-periodic, 2-local motivic sphere spectrum by shifts of the connective 2-local Witt K-theory spectrum. This is…

### On the infinite loop spaces of algebraic cobordism and the motivic sphere

- Mathematics
- 2019

We obtain geometric models for the infinite loop spaces of the motivic spectra $\mathrm{MGL}$, $\mathrm{MSL}$, and $\mathbf{1}$ over a field. They are motivically equivalent to $\mathbb{Z}\times…

### Modules over algebraic cobordism

- MathematicsForum of Mathematics, Pi
- 2020

Abstract We prove that the $\infty $-category of $\mathrm{MGL} $-modules over any scheme is equivalent to the $\infty $-category of motivic spectra with finite syntomic transfers. Using the…

### Nilpotence in normed MGL-modules

- Mathematics
- 2019

We establish a motivic version of the May Nilpotence Conjecture: if E is a normed motivic spectrum that satisfies $E \wedge HZ \simeq 0$, then also $E \wedge MGL \simeq 0$. In words, motivic homology…

### Hyperdescent and étale K-theory

- MathematicsInventiones mathematicae
- 2021

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, which is…