Monday, September 20 at 3:30pm to 4:30pm
Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089
Elden Elmato, Harvard University
Abstract: Thomason proved that Bott-inverted (or, better, KU-local) algebraic K-theory satisfies étale descent. This was decisive in clarifying the Quillen-Lichtenbaum conjectures in algebraic K-theory. It turns out that KU-local Grothendieck-Witt theory is not an etale sheaf in general but instead satisfies Scheiderer's b-descent. I will explain this result and its connections with Real algebraic geometry. This is joint work with Nardin, Shah and Yang.