Astronomical Topology

This page contains material for the working group on Astronomical Topology, in which we will try to understand the disproof, by Burklund, Hahn, Levy and Schlank, of Ravenel's Telescope Conjecture.

Talks

Some talks just used the blackboard; only talks with slides are shown here.

Introductory talk on chromatic homotopy theory and the statement of the Telescope Conjecture. (Neil Strickland)
The Telescope Conjecture as Galois Theory (Neil Strickland)
THH of cochains on the circle (James Brotherston)

Background

An outline of what we need to cover.
A Princeton workshop on the disproof, to be held online 13:15-21:15 UK time on Saturday October 28th.
Lecture recordings from the Oxford conference where the disproof was announced. (The link to the first talk is broken, but the others are OK.)

Literature

I am not sure how much of this is really necessary.

Chromatic cyclotomic extensions (Carmeli, Schlank and Yanovski)
Descent and Cyclotomic Redshift for Chromatically Localized Algebraic $K$-theory (Ben-Moshe, Carmeli, Schlank and Yanovski)
Purity in chromatically localized algebraic K-theory (Land, Mathew, Meier and Tamme)
Descent in algebraic $K$-theory and a conjecture of Ausoni-Rognes (Clausen, Mathew, Naumann, Noel)
On topological cyclic homology (Nikolaus and Scholze)
Some recent advances in topological Hochschild homology (Mathew)
Redshift and multiplication for truncated Brown-Peterson spectra (Hahn and Wilson)
A motivic filtration on the topological cyclic homology of commutative ring spectra (Hahn, Raksit and Wilson)