Lattice points and cube slicing

Series:
High Dimensional Seminar
Wednesday, November 28, 2018 - 12:55pm
1 hour (actually 50 minutes)
Location:
skiles 006
,
Georgia Institute of technology
,
Organizer:
&nbsp;In this talk I will describe those&nbsp;linear subspaces of $\mathbf{R}^d$ which&nbsp;can be formed by taking the linear span of lattice points in a&nbsp;half-open parallelepiped. I&nbsp;will&nbsp;draw some&nbsp;connections between this problem and&nbsp;Keith Ball's cube slicing theorem, which states that the volume of any slice of the unit cube $[0,1]^d$ by a codimension-$k$ subspace is at most $2^{k/2}$.