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.