Marston Morse Lectures
Topic: Dependent random choice
Speaker: Jacob Fox
Affiliation: Stanford University
Date & Time: Thursday October 26th, 2017, 4:00pm - 5:00pm
We describe a simple yet surprisingly powerful probabilistic technique that shows how to find, in a dense graph, a large subset of vertices in which all (or almost all) small subsets have many common neighbors. Recently, this technique has had several striking applications, including solutions to a variety of longstanding conjectures of Paul Erdős. In this talk, I will discuss this technique and its diverse applications.