The structure of space curve arrangements with many incidences

Combinatorics Seminar
Tuesday, March 10, 2015 - 12:05pm
1 hour (actually 50 minutes)
Skiles 005
In 2010, Guth and Katz proved that if a collection of N lines in R^3 contained more than N^{3/2} 2-rich points, then many of these lines must lie on planes or reguli. I will discuss some generalizations of this result to space curves in three dimensional vector spaces. This is joint work with Larry Guth.