Nimbers and the Game of Nim (Sam Backlund)
In this talk, we will continue our analysis of Hackenbrush by adding a third type of edge. This addition, together with the machinery from previous sessions, will allow us to define the game of Nim and the very special Nimbers, a set of mathematical objects that behave like numbers in some ways but not in others. Nim and the Nimbers will be foundational in developing more advanced theorems in combinatorial game theory.