Elden Elmanto - On the K-theory of universal homeomorphisms

I will motivate the study of universal homeomorphism (uh)-invariant theories from the perspective of Grothendieck and the (mixed characteristic) minimal model program. Then I will explain a pullback square examining the behavior of rational K-theory under uh’s and, time permitting, ongoing work on the Brauer stack. This is report on joint work with Mathew and Witaszek.