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Oppenheim conjecture and related problems

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Interactions between Dynamics of Group Actions and Number Theory

Oppenheim conjecture which I proved in mid-eighties says that the set of values at integral points of an irrational indefinite quadratic form in 3 or more variables is dense in R (this is a slightly stronger than the original formulation). I will discuss various approaches to this conjecture and its quantitative generalizations.

This talk is part of the Isaac Newton Institute Seminar Series series.

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