A procedure to find deep holes for integral lattices

Abstract:

 
In this talk the speaker gives a general procedure to find
deep holes of integral lattices. So far a general method 
to find them has not been given in higher dimensions.

For so-called root lattices Conway and Sloane give a method
to find deep holes by using Voronoi cells associated with
such lattices.  Outsied the root lattices no general method is
given.

In the present talk a linear programming method is introduced.
One strong advantage is that it does not rely on the Voronoi cells,
hence it applies to most lattices.