- Series
- ACO Student Seminar
- Time
- Friday, November 13, 2015 - 1:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Marcel Celaya – Georgia Tech
- Organizer
- Yan Wang

We find a good characterization for the following problem: Given a
rational row vector c and a lattice L in R^n which contains the integer
lattice Z^n, do all lattice points of L in the half-open unit cube
[0,1)^n lie on the hyperplane {x in R^n : cx = 0}? This work generalizes
a theorem due to G. K. White, which provides sufficient and necessary
conditions for a tetrahedron in R^3 with integral vertices to have no
other integral points. Our approach is based on a novel proof of White's
result using number-theoretic techniques due to Morrison and Stevens.
In this talk, we illustrate some of the ideas and describe some
applications of this problem.