The structure of space curve arrangements with many incidences

Series: 
Combinatorics Seminar
Tuesday, March 10, 2015 - 12:05
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
MIT
,  
Organizer: 
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.