Lectures on flips and minimal models

This document contains notes from the lectures of Corti, Koll'ar, Lazarsfeld, and Musta\c{t}\u{a} at the workshop ``Minimal and canonical models in algebraic geometry" at MSRI, Berkeley, April 2007. The lectures give an overview of the recent advances on canonical and minimal models of algebraic varieties obtained by Hacon–McKernan and Birkar–Cascini–Hacon–McKernan.