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Quadratic Forms and their Values

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Quadratic Forms and their Values
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<strong>Mathematics Seminar of the School of Physical Sciences ---------------------------------------------------------</strong> <strong>Quadratic Forms and their Values</strong> <strong>Anish Ghosh</strong> (Tata Institute of Fundamental Research, Mumbai) Date: <strong>February 26, 2016 </strong> <strong>Abstract: </strong>I will discuss Margulis' famous proof of Oppenheim's conjecture: if Q is an indefinite irrational quadratic form in 3 or more variables n, then Q(Z^n) is dense in the real line. If time permits recent advances will be discussed. Based on joint work with A. Gorodnik and A. Nevo.