Please join us for the last Undergraduate Math Seminar talk of the semester! It is at its usual time and place, Wednesday 5:30-6:30 in LGRT 1634. This week, Luke Mohr will speak on: “Game Theory, Hex, and Brouwer’s Fixed Point Theorem” (abstract below). As always, pizza and soda will be provided. Hope to see you there!
Abstract:
After a brief introduction to the subject of Game Theory we will
discuss Hex, a board game played on a hexagonal grid in which two players
attempt to connect opposing sides of the board as they take turns claiming
individual hexes. We will show that this game can not end in a draw and, in
fact, the first player always has a winning strategy. We will marvel at the
beauty and interconnectedness of mathematics as we use the game of Hex to
prove a theorem from topology: any continuous function from the unit
square to itself must have a fixed point.