Measurability and Combinatorics -
Measure theory started a little over 100 years ago with Lebesgue's work on integration. Lebesgue needed to define area and length on a very general class of sets, and to do so he needed a technical condition-- measurability. Over the past couple of decades, measurability has repeatedly shown up in surprising ways in discrete math. In this talk, I will explain what it means for a set to be measurable and how measurability shows up in combinatorics.