Modul: MAT770 Oberseminar: Algebraische Geometrie

## Inverting spherical Bott elements

Prof. Dr. Paul Arne Oestvaer talk

**Date:** 09.12.19 **Time:** 13.15 - 14.45 **Room:** Y27H25

In joint work with Tom Bachmann and Elden Elmanto we extend a series of etale descent results originating with Thomason's theorem for algebraic K-theory. Over quite general base schemes, we construct self maps of motivic Moore spectra whose telescopes satisfy etale hyperdescent. We also show that etale localization is smashing in our context, and consequently recover all the hereto known etale descent results for cohomology theories in the stable motivic homotopy category. In this talk we give an overview of these results and outline a proof.