NUMBER THEORY SEMINAR

12/10/2009

Elon Lindenstrauss
Princeton University

An effective proof of the Oppenheim Conjecture

In the mid 80's Margulis proved the Oppenheim Conjecture regarding values of indefinite quadratic forms. I will present new work, joint with Margulis, where we quantify this statement by giving bounds on the size of integer vectors for which |Q(x)|<epsilon for an irrational indefinite quadratic form Q in three variables.