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.