Diophantine approximation for algebraic numbers
Location: MSRI: Simons Auditorium
transcendental number theory
homogeneous dynamics orbit
A number is well approximable (WA) if the error when approximatin by p/q can be made small compared to the sqare of 1/q. Almost all reals are WA. For good reasons quadratic irrationals are not. Nothing is known for cubic irrationals. We show how this relates to special orbits in homogeneous dynamics.
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