Princeton Discrete Math Seminar


A Problem from Quantum Logic


Derek Smith
Princeton University


Fine Hall 214
Princeton University


3:00 p.m.
Thursday, April 24, 1997

Let S be a finite set of lines through the origin in R^3. Whenever two lines in S are orthogonal, augment S with the line orthogonal to both of them. Can the size of S increase without bound?

We'll discuss this problem and its generalizations, naturally considering factorization in the integral quaternions and octonions along the way.

Next week: Laszlo Lovasz (Wednesday) and Doron Zeilberger (Thursday)

Document last modified on April 22, 19997