Algebra/Topology Seminar – University of Copenhagen

Algebra/Topology Seminar

Speaker: Piotr Pstragowski (Northwestern).

Title: Chromatic homotopy is algebraic when p > n^2+n+1. 

Abstract: In this talk, we show that when p > n^2+n+1, the homotopy category of E(n)-local spectra is equivalent to the homotopy category of differential E(n)_*E(n)-comodules, giving a precise sense in which chromatic homotopy theory is algebraic at large primes. This extends the work of Bousfield at n = 1 to all heights, and affirms a conjecture of Franke.