Effective Estimates in the Theory of Indefinite Quadratic Forms and in Unipotent Dynamics

Effective Estimates in the Theory of Indefinite Quadratic Forms and in Unipotent Dynamics

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Gregory Margulis, Yale University
Fine Hall 314

I will describe some recent results related to the size of the smallest solutions of quadratic inequalities , Markoff spectrum, etc. I will also talk briefly about effective $epsilon$-density for orbits of unipotent flows.