Algebra/Number Theory Seminar

Speaker: Samuel Wilson

Title: Birthday Brawl

Abstract: We define games as a combinatorial object between two "players" given a specific set of rules. Our goal is to calculate a way to give games numerical values in order to see which player (if any) has a winning strategy, and to find the smallest field such that game-values are completely contained. We will call this field the Surreal Numbers and look at its interesting properties as well as give a method to construct them concretely.