|JOINT IAS/PU NUMBER THEORY SEMINAR|
|Topic:||An Effective Proof of the Oppenheim Conjecture|
|Affiliation:||Princeton University and Member, School of Mathematics|
|Date:||Thursday, December 10|
|Time/Room:||4:30pm - 5:30pm/S-101|
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.