Joint IAS/Princeton University Number Theory Seminar
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.
Date & Time
December 10, 2009 | 4:30pm – 5:30pm
Location
S-101Speakers
Affiliation
Princeton University and Member, School of Mathematics