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UID:node-3060686@mathematics.huji.ac.il
DTSTAMP:20211104T140000Z
DTSTART:20211104T140000Z
DTEND:20211104T151500Z
SUMMARY:Basic notions: Elon Lindenstrauss (HUJI) - Arithmetic, Diophantine inequalities and homogeneous dynamics I
DESCRIPTION:live link:\n\n https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=a9302362-5419-4f57-90a6-adc600aec558\n\nabstract:\n\nIn my talks I will try to give some examples of how homogeneous dynamics can bu used to establish (and count) the number of solutions to Diophantine inequalities as well as to study the distribution of rational points on varieties.\n\nFor the former I plan to discuss Margulis proof of the Oppenheim conjecture, as well as some more quantitative subsequent results.\n\nThe latter - study of integer points - is somewhat more surprising, and requires an Adelic (or at least S-arithmetic) point of view. I will explain what this means and as an example discuss work of Ellenberg and Venkatesh regarding representing a positive definite integer quadratic form in k variables by an integer quadratic form in l>k variables.\n\n
LOCATION:The link will be sent to you after registration
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