## Graduate Student Organization Seminar

**Date: ** February 12, 2020

**Time: ** 4:00PM - 5:00PM

**Location: ** BLOC 628

**Speaker: **Konrad Wrobel

**Title: ***Games People Play and Winning Strategies*

**Abstract: **Given an infinite game on the Cantor space, an interesting question to ask is whether there exists a winning strategy for one of the players. A famous theorem due to Martin states that there is a winning strategy for one of the players if the payoff set is Borel. I'll discuss some background on games and Borel sets before discussing some applications, possibly including the fact that analytic sets have the perfect set property and the Baire property.