Graduate Students
Graduate Programs     
Graduate Home Ph D Programs Masters Degree Ph D Program Requirements Course Descriptions Current Courses Admissions Current Graduate Students Graduate Student Seminar SIAM Chapter Seminar Recent Graduates Incoming Students

Apply Now
Graduate Seminar

Jing Zhang
Carnegie Mellon University
Title: Coloring points on the plane

Abstract: We will attempt to solve the following problem: given a countable coloring of the plane, namely a function $f:\mathbb{R} \times \mathbb{R} \to \mathbb{N}$, is it possible to find $A$, $B$ infinite subsets of $\mathbb{R}$ such that $f$ restricted on $A \times B$ is constant? We may or may not succeed. I'll talk about additional possible hypotheses that decide the truth of the statement. For example, continuum hypothesis implies the statement is false and the existence of "sufficiently saturated" ideals on $\mathbb{R}$ implies the statement is true.

Date: Tuesday, September 12, 2017
Time: 5:30 pm
Location: Wean Hall 8220
Submitted by:  Yangxi Ou
Note: Video will not be recorded.