An Effective Proof of the Oppenheim Conjecture
| JOINT IAS/PU NUMBER THEORY SEMINAR | |
| Topic: | An Effective Proof of the Oppenheim Conjecture |
| Speaker: | Elon Lindenstrauss |
| 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.