4:00 pm Thursday, November 2, 2017

Andrew Blumberg (UT Austin)

Abstract:Algebraic K-theory is a fundamental invariant encoding information about number theory, manifold geometry, and algebraic geometry. However, it is hard to compute directly. Instead, a very successful approach to studying algebraic K-theory has been via "trace methods", which map out to more tractable theories such as (topological) Hochschild and cyclic homology. These theories are interesting in their own right. In this talk, I will give a gentle overview of this story.