An effective proof of the Oppenheim Conjecture

An effective proof of the Oppenheim Conjecture

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Elon Lindenstrauss, Princeton University
IAS Room 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)|