Title: The Shapiro-Shapiro ConjectureSpeaker: Kevin Purbhoo Affiliation: University of Waterloo Room: MC 5501
Given four lines in 3-space, can you find a fifth line that intersects the other four? How many?
This is the smallest non-trivial example of a "Schubert problem". The answer, in this case, is not hard to compute: there are two such lines. Generalizations of this fact date back to 19th century work of Schubert.