18.786 | Spring 2006 | Graduate

Topics in Algebraic Number Theory

18-786s06.jpg

Description:

Some important properties of algebraic numbers follow from Minkowski’s theorem: given a lattice in a Euclidean space, any bounded, convex, centrally symmetric region of large enough volume contains a nonzero lattice point. (Image courtesy of Jesus De Loera, Department of Mathematics, University of California, Davis.)

Alt text:
Illustration of Minkowski's theorem.
Caption:
Some important properties of algebraic numbers follow from Minkowski’s theorem: given a lattice in a Euclidean space, any bounded, convex, centrally symmetric region of large enough volume contains a nonzero lattice point. (Image courtesy of Jesus De Loera, Department of Mathematics, University of California, Davis. Used with permission.)
Illustration of Minkowski's theorem.

Course Info

Instructor
Departments
As Taught In
Spring 2006
Level
Learning Resource Types
Problem Sets
Exams