Next Meeting:

Thursday February 19th

Location: BH 330

Time: 11:30 AM - 12:15 PM

Title: Counting Triangles to Prove a Fixed Point Theorem 

Speaker: Darren Gerrity

Abstract: Fixed-point theorems are some of the most important applications of topology, finding their use in fields such as differential equations. Among the most classical fixed-point theorems is Brouwer’s Fixed-Point Theorem, which states that any continuous mapping of a topological disk onto itself must have at least one fixed point. Most proofs of Brouwer’s Fixed Point Theorem rely on machinery from algebraic topology. This proof relies only on a lemma about triangles(Sperner’s Lemma), proven with an elementary counting argument, and a slightly technical topological property. 

Pizza and beverages will be provided.

All majors and backgrounds welcome!

Come learn & have lots of fun!

Check out our calendar for a complete list of upcoming events.