Séminaire d'arithmétique à Lyon

Stabilization in motivic homotopy theory and some concrete applications

by Aravind Asok


I will discuss joint work with Tom Bachmann and Mike Hopkins 
regarding an analog of the Freudenthal suspension theorem in unstable 
motivic homotopy theory.  To motivate the result, I will quickly 
introduce the unstable motivic homotopy category and discuss some 
concrete applications in the theory of projective modules.  Time 
permitting, I will sketch the key idea behind the proof.