We provide a topological duality resolution for the spectrum E 2 h S 2 1, which itself can be
used to build the K (2)‐local sphere. The resolution is built from spectra of the form E 2 h F …

This chapter explains how the solution of the Ravenel Conjectures by Ethan S. Devinatz,
Michael J. Hopkins, DC Ravenel, and Jeffrey H. Smith leads to a canonical filtration in stable …

We calculate the homotopy type of L 1 LK (2) S 0 and LK (1) LK (2) S 0 at the prime 2, where
LK (n) is localization with respect to Morava K–theory and L 1 localization with respect to 2 …

Using the pro\'etale site, we construct models for the continuous actions of the Morava
stabiliser group on Morava E-theory, its $\infty $-category of $ K (n) $-local modules, and its …

We calculate the group $\kappa_2 $ of exotic elements in the $ K (2) $-local Picard group at
the prime $2 $ and find it is a group of order $2^ 9$ isomorphic to $(\mathbb {Z}/8)^ 2\times …

Picard groups of higher real K-theory spectra at height p − 1 Page 1 Picard groups of higher
real K-theory spectra at height p − 1 Drew Heard, Akhil Mathew and Vesna Stojanoska …

Let V (0) be the mod 2 Moore spectrum and let C be the supersingular elliptic curve over F 4
defined by the Weierstrass equation y 2+ y= x 3. Let FC be its formal group law and EC be …

We compute the continuous cohomology of the Morava stabilizer group with coefficients in
Morava $ E $-theory, $ H^*(\mathbb {G} _2,\mathbf {E} _t) $, at $ p= 2$, for $0\leq t< 12 …

We show that at the prime 2, for any height $ h $ and $ G\subset\mathbb {G} _h $ a finite
subgroup of the Morava stabilizer group, the $ RO (G) $-graded homotopy fixed point …

Mahowald proved the height 1 telescope conjecture at the prime 2 as an application of his
seminal work on bo‐resolutions. In this paper, we study the height 2 telescope conjecture at …