Speaker: Dustin Clausen
Title: Descent and vanishing in telescopic algebraic K-theory
Abstract: This is joint work with Akhil Mathew, Niko Naumann, and Justin Noel. We show that two predictions of Ausoni-Rognes in telescopic algebraic K-theory, namely descent "at the next height" and vanishing "at all heights after that", are actually strongly interrelated, in a manner which allows to simultaneously establish them via an inductive argument, in a quite broad context. The argument is not too long, but it combines many ingredients, in particular three recent quite interesting theorems proved by three disjoint sets of authors. A true community effort! I will start the talk by giving some background in chromatic homotopy theory and algebraic K-theory.