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Diophantine approximation for algebraic numbers

Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015

May 12, 2015 (03:50 PM PDT - 04:40 PM PDT)
Speaker(s): Hillel Furstenberg (The Hebrew University of Jerusalem)
Location: MSRI: Simons Auditorium
  • well-approximable numbers

  • Diophantine approximation

  • Liouville number

  • transcendental number theory

  • homogeneous dynamics orbit

  • Raghunathan's theorem

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



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.

23524?type=thumb Furstenberg. Notes 128 KB application/pdf Download
Video/Audio Files


H.264 Video 14241.mp4 361 MB video/mp4 rtsp://videos.msri.org/data/000/023/450/original/14241.mp4 Download
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