University of Cambridge > Talks.cam > Special DPMMS Colloquium > Virtual classification of hyperbolic 3-manifolds and applications

Virtual classification of hyperbolic 3-manifolds and applications

Add to your list(s) Download to your calendar using vCal

  • UserVlad Markovic (Caltech)
  • ClockWednesday 19 June 2013, 14:00-15:00
  • HouseCMS, MR11.

If you have a question about this talk, please contact HoD Secretary, DPMMS.

This talk has been canceled/deleted

During the past few years, J. Kahn and I developed a theory (based among other things on deep statistical properties of geometric flows) that led to the solution of the Ehrenpreis conjecture and (in some sense more importantly) the proof of the Surface Subgroup Theorem in 3-manifold topology. In particular, this theorem implies that every hyperbolic 3-manifold is cubulated. It then follows from the Agol-Wise theory of cube complexes that every hyperbolic 3-manifold is virtually Haken and virtually fibered. I will also discuss my latest result that aims to classify hyperbolic groups whose boundary is the 2-spehere (the Cannon Conjecture), the main motivation being that this gives a fundamentally new approach toward proving the Perelman Hyperbolization Theorem for 3-manifolds of negative curvature.

This talk is part of the Special DPMMS Colloquium series.

Tell a friend about this talk:

This talk is included in these lists:

This talk is not included in any other list

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity