Event Type:

Department Colloquium

Date/Time:

Monday, May 4, 2015 - 16:00 to 17:00

Location:

Pharmacy 305

Guest Speaker:

Institution:

Reed College

Abstract:

Over the past two decades, algebraic topologists have discovered that the tools they developed to study topological spaces apply in surprising generality. In this talk, I will focus on two examples: the homotopy theory of spaces with a group action, and the homotopy theory of algebraic varieties. After motivating the various constructions and describing some recent success stories from each field, I will conclude by sketching a surprising relation between these homotopy theories induced by the classical Galois correspondence. (The final portion of the talk represents joint work with Jeremiah Heller.)

Host: