Mathematical Sciences Research Institute

Home » Workshop » Schedules » Oppenheim conjecture and related problems

Oppenheim conjecture and related problems

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

May 13, 2015 (11:20 AM PDT - 12:10 PM PDT)
Speaker(s): Gregory Margulis (Yale University)
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

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



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

23525?type=thumb Margulis.Notes 107 KB application/pdf Download
Video/Audio Files


H.264 Video 14244.mp4 308 MB video/mp4 rtsp://videos.msri.org/data/000/023/455/original/14244.mp4 Download
Troubles with video?

Please report video problems to itsupport@msri.org.

See more of our Streaming videos on our main VMath Videos page.