Freshman Seminar: The Hadwiger-Nelson Problem

Course Calendar

Updated 20 January 2016

This calendar is subject to revision throughout the term.

**Monday, 11 January:**Introductions, gumdrops.-
**Wednesday, 13 January:**Context: graph theory, graph coloring basics. -
**Friday, 15 January:**Context, continued. History, the 4-color Theorem(?).

**Monday, 18 January:**Holiday-
**Wednesday, 20 January:**Uncountability by way of finiteness: De Bruijn-Erdos Theorem -
**Friday, 22 January:**Axiom of Choice, Zorn's Lemma (continued).

**Monday, 25 January:**Finite graphs, and a proof of De Bruijn-Erdos-
**Wednesday, 27 January**What is density? Rationals, irrationals, and limits. -
**Friday, 29 January:**Close enough is not enough. Coloring Q^2.

**Monday, 1 February:**What is size? Measurability, introduction.-
**Wednesday, 3 February:**Lebesgue measure, and why inifinity is weird. -
**Friday, 5 February:**Lebesgue measure, continued.

**Monday, 8 February:**Measurable coloring and a new lower bound.-
**Wednesday, 10 February:**Measurable coloring, continued. -
**Friday, 12 February:**

**Monday, 15 February:**-
**Wednesday, 17 February:** -
**Friday, 19 February:**

**Monday, 22 February:**-
**Wednesday, 24 February:** -
**Friday, 26 February:**

**Monday, 29 February:**