Thomas Nikolaus - Cyclotomic Spectra and Dieudenné Modules 1

This is the video of the lecture by Thomas Nikolaus entitled "Cyclotomic Spectra and Dieudenné Modules 1". The talk was given on June 12, 2018 at the TU Berlin as part of the Homotopy Theory Summer Berlin.

The second part of the lecture series by Ben Antieau can be watched here: https://vimeo.com/292751793

Abstract:

We start by reviewing the notion of cyclotomic spectra and basic examples such as THH. Then we introduce the classical algebraic notion of an (integral, p-typical) Dieudonné module and its higher generalization to spectra (topological Dieudonné modules). We present examples such as Witt vectors and K-theory of endomorphisms. The main result, which is joint work with Ben Antieau, is that there is a close, fruitful connection between the two notions.