Math Chats: The Geometry of Numbers

The Mathematics Departments presents Duncan Levear, ‘15 (Brandeis University) who will discuss “The Geometry of Numbers”.
Geometrical arguments have been used since the ancient Greeks to prove facts about real numbers. We will use geometry to study Z, the set of integers. We will define the linkage, lattices, and prove a geometrically flavored theorem with a dazzling number theoretic consequence. Restricting to one dimension, we will show that lattices in R are its only discrete subgroups, and that the rest are dense. The proof will exhibit the pervasive chaos of irrational numbers.
Pizza and drinks at 12:15. All are welcome!