Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
Title: The Joints Problem in Incidence Geometry
Speaker: Joseph Zurier, Classical High School, Providence, RI
Date: Thursday, April 23, 2015 5:00pm
Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ
The joints problem is a very basic problem in the field of incidence geometry: Given n lines in three dimensions, what is the maximum number of triple intersection points they define? This talk will present an overview of the problem and some recent work related to its solution, including an introduction to the polynomial method in incidence geometry. We will derive the current best upper and lower bounds, focusing on a particularly nice method of bounding sequences that has applications to this problem.