Oppenheim conjecture and related problems
Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015
Location: MSRI: Simons Auditorium
Oppenheim conjecture
Hardy-Littlewood conjectures
Analytic number theory
real irrational quadratic form
Siegel-Walfisz theorem
counting points inside ellipsoids
Raghunathan's theorem
effective proofs
11P55 - Applications of the Hardy-Littlewood method [See also 11D85]
37Pxx - Arithmetic and non-Archimedean dynamical systems [See also 11S82, 37A45]
14244
The Oppenheim conjecture proved in mideighties states that the set of values at integral points of an irrational indefinite quadratic form in n>2 variables is dense in R. I will talk about the history and proof of this conjecture and will also talk about various problems related to the conjecure
Margulis.Notes
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14244
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