Make up blog (Dr. Vitaly Bergelson)

Honestly, most of Dr. Bergelson's lecture went straight over my head. He began by talking about a set with finite volume which was a concept I am unfamiliar with. He then went on to discuss theories that involved the densities of sets which was still something I don't understand although I quickly saw that the even numbers have a density of 1/2 and there is a pattern that follows (although I don't know what this concept means). Part of the proof he was showing involved the statement that the density of all the prime numbers is zero which broke the pattern. Anyway, he was talking about combinatorics, so I didn't necessarily expect to understand most of what he was saying. He mainly focused on Poincare's recurrence theorem, which I at least found the history of as somewhat interesting, but generally speaking I think my math vocabulary and concept understanding just wasn't high enough to really understand where he was going.